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Teacher’s HIV Lesson Plan and Activity Packet
What you will find in this packet:
1. Explanation of packet (page 1)
2. Instructions (page 1)
3. Background and Lecture Information (page 2)
4. Activity
5. Answer Keys
6. Discussion Questions
Part I: Explanation of packet
The purpose of this packet is to reinforce biological concepts while practicing statistical
principles that will be tested on the AP Exam. In this packet teachers will find lecture material, an in-
class exercise and a homework assignment. Students will learn about HIV and AIDS – specifically the life
cycle and treatment options. Additionally, they will review important concepts in genetics and
immunology. Finally, students will get to take on the role of doctors, which is sure to capture their
attention.
Part III: Instructions
To set up: Print off copies of all worksheets. Place “Pathology Lab Results” at the front of the
classroom. Give lecture on HIV. Ask students to work in groups of 4. Give one copy of both the “Patient
Information Worksheet” and the “Medicine Data Table” to each group of 4. In this activity, students will
be analyzing HIV+ patient histories, performing t-tests and chi square tests, and prescribing treatment
options. After completing the assignment, you can pass out the homework assignment to each student.
The next day, after going over the homework, you can ask the discussion questions if you wish.
Part II: Background and Lecture Information
2
Teacher’s Guide and Lecture Material
This lesson plan allows you to combine the Immune System and Genetics into one lesson that involves a
real world problem (HIV). It also combines statistical analysis into biological problems. It serves as a
great review for the AP Exam or any test students might be taking.
You can use the information on this sheet to create a lesson that is suited to your classroom.
Included:
1. Statistics Review Information
2. Genetics Review Guide
3. Immunology Review Guide
4. What is HIV? – background and history
5. Classroom Activity and flowchart
6. Molecular Information about HIV
7. Symptoms and Treatments and flowchart
Step 1: Statistics Review Information.
- Use the statistics page on this website to provide students with a background on statistical
principles that they might be tested on.
-
Step 2: Genetics Review
- Terms to know:
o DNA
o RNA
o Transcription
o Reverse Transcription
o Translation
o cDNA
o mRNA
o Vesicles/Virions
o Nucleus, cytoplasm, cell membrane
o Cell receptors
Step 3: Immunology Review
- Terms to know:
o Immune system
o Virus
o T-cells
o Infection
o Opportunistic Infection
3
Step 4: What is HIV? (background and history)
- HIV stands for human immunodeficiency virus.
- It is transferred by bodily fluids (blood, semen, breast milk)
- However, it is NOT transferred by sweat, saliva, and mucous.
- HIV is a lentivirus, meaning you can become infected, but you may not show signs for years
or decades. Sometimes, people infected with HIV never have symptoms.
- It is believed to have originated in primates in West Africa in the early 1900s. It was
probably first passed to humans who had close interactions with primates, perhaps hunters.
- More than 30 million people throughout the world now live with HIV.
- Over time, HIV can lead to AIDS – Acquired immune deficiency syndrome. AIDS is a more
severe condition.
- HIV and AIDS both weaken your immune system. This makes it easier for you to get other
diseases/illnesses, including certain types of cancer – like Kaposi’s Sarcoma.
- People with AIDS often lose weight and/or muscle mass, and are sick very frequently.
- A person will not die from HIV or AIDS, rather the illnesses that they acquire due to their
weakened immune system.
-
Step 5: Classroom Activity
- Before presenting the lifecycle of HIV, challenge your students to think. Give them the
following sheet of paper and ask them to cut out the squares. Working in groups, ask them
to arrange the squares into the appropriate order of the HIV lifecycle.
- NOTE: the worksheet is not in order
- The correct order is as follows:
1. Infection of host body
2. Virus binds with receptors on T-cell
3. Virus enters into cytoplasm of cell
4. Reverse Transcription of viral RNA
5. cDNA is produced and enters nucleus
6. cDNA enters into host DNA
7. Transcription and translation of DNA
8. Virus is reproduced and cleaved into smaller viral proteins
9. The virus leaves the cell in virions/vesicles
- After completion, continue on with the rest of the lecture material (listed below).
4
Infection of host body
Integration into host DNA
Budding of viral protein chains
Virus enters into cytoplasm
Virions/Vesicles released from cell
DNA enters into nucleus
Transcription and translation
Binds with receptors on T-cells
Reverse transcription
Infect other cells/other host
bodies
5
Step 6: On a molecular level
- HIV attacks T-cells in the body.
- The virus combines with receptors on the surface of the cell.
- Then viral material is unloaded into the cell, across the membrane
- Once inside the cytoplasm, reverse transcription occurs. Viral RNA is used to form cDNA.
- This cDNA enters into the cell nucleus, where it combines with the cell’s DNA.
- Here, the virus can remain latent (or dormant) for long periods of time.
- Once activated, transcription and translation occur.
- New virus protein is produced
- Protease is an enzyme that cleaves(cuts up) these virus proteins into smaller proteins
- They are packaged up and sent off into vesicles called virions
- The cycle continues and these virions are off to infect new t-cells!
*** review questions for the class:
1. What type of cells does the HIV virus attack?
2. What is reverse transcription?
3. What does latent mean?
4. What is protease?
5. What is a virion?
Take it a step further: Ask students to draw their own diagram/image/cartoon of the HIV cycle.
Check out the flow chart listed below and feel free to use it in the classroom.
6
7
Step 7: Symptoms and Treatments
a. First and foremost, HiV and AIDS have no cure, meaning they cannot be completely
treated or irradicated from the body. The main problem in treating HIV is that it can
remain latent (dormant) in your cells and your body will not detect it the virus at this
time, therefore it will not fight it off.
b. Additionally, there are also no vaccines against HIV/AIDS.
c. Now that you know that HIV affects t-cells in the body, you must learn what this means
in the grand scheme of things.
d. Everyone needs T-cells to stay alive. They are a crucial part of the immune system.
When HIV infects these cells, they die.
e. A normal T-cell range is >500 cells/mm3. You can determine your t-cell count by a simple
blood test.
f. A person infected with HIV generally has less than 500 cells/mm3.
g. To be diagnosed with AIDS, a person must have a t-cell count that is less than 200
cells/mm3.
h. Lowered t-cell counts make it harder for the immune system to fight off illnesses.
i. Common symptoms of HIV include:
j. Patients with AIDS, and sometimes HIV, often suffer from certain types of cancers and
pneumonia.
k. Fortunately, t-cell counts can increase with medication!
l. Medication can prevent the amount of cells that are being infected by the active HIV
virus.
m. We will discuss 3 main treatment options:
1. NRTI: nucleoside reverse transcription inhibitor – prevents the viral RNA from being reverse
transcribed into cDNA. Therefore- nothing enters the nucleus
2. PI: Protease inhibitor – prevents protease (an enzyme) from cleaving the larger viral protein
chains into smaller protein chains. Therefore – nothing leaves the cell.
3. HAART Therapy “cocktail”: most commonly a combination of 2 NRTI’s and 1 PI. This is the most
common treatment option because it works to inhibit the HIV virus in multiple ways.
**Check out the following diagram to help visualize what these medicines do, and when/where they
work.
8
9
Part IV: Activity
Worksheet list:
1. Pathology Lab Results (place a few copies at the front of the classroom)
2. Patient Information Worksheet (one copy per group of 4)
3. Medicine Data Table (one copy per group of four)
4. HIV and Data Analysis Activity (one copy per student)
5. Homework Assignment (one copy per student)
Answer Keys:
1. Data Analysis Activity
2. Homework Assignment
Instructions:
To set up: Print off copies of all worksheets. Place “Pathology Lab Results” at the front of the
classroom. Give lecture on HIV. Ask students to work in groups of 4. Give one copy of both the “Patient
Information Worksheet” and the “Medicine Data Table” to each group of 4. In this activity, students will
be analyzing HIV+ patient histories, performing t-tests and chi square tests, and prescribing treatment
options. After completing the assignment, you can pass out the homework assignment to each student.
The next day, after going over the homework, you can ask the discussion questions if you wish
10
Pathology Lab Results: place a few copies at front of classroom, simulating lab at doctor’s office
Patient Information: #48392 CJ Blue
Tested for: Amount:
Platelets 100,000/mL
White Blood Cells (WBCs) 5700 cells/µL
T-cell count 431 cells/mm3
Red Blood Cells (RBCs) 5.1 mil cells/µL
Glucose 98 mg/dL
Hemoglobin 13 gm/dL
Patient Information: #277948 Naomi Green
Tested for: Amount:
T-cell count 130 cells/mm3
Platelets 234,000/mL
Red Blood Cells (WBCs) 5.7 mil cells/µL
White Blood Cells (RBCs) 8,957 cells/µL
Hemoglobin 17 gm/dL
Glucose 130 mg/dL
Patient Information: #920938 Cynthia Orange
Tested for: Amount:
Red Blood Cells (RBCs) 6.1 mil cells/µL
Glucose 77 mg/dL
T-cell count 395 cells/mm3
White Blood Cells (RBCs) 7,723 cells/µL
Platelets 309,000/mL
Hemoglobin 9 gm/dL
Patient Information: #156309 John Red
Tested for: Amount:
Platelets 276,835/mL
T-cell count 175 cells/mm3
Hemoglobin 10 gm/dL
White Blood Cells (RBCs) 4,714 cells/µL
Red Blood Cells 6.1 mil cells/µL
Glucose 99 mg/dL
11
Patient Information Worksheet (one copy per group)
Patient #1 Information The patient’s name is John Red. He was born on July 8, 1960 in North Carolina. He is 6’2” and weighs 180 pounds. He had a tonsillectomy (tonsils removed) when he was 8 years old. His grandfather had lung cancer. His dad has heart disease and had a heart attack when he was 60, but survived. His twin brother had a stroke when he was 33. His blood pressure today was 120/80 mm Hg. His heart rate is 75 bpm. He is an accountant who liked to play sports and hike in his free time. He is currently suffering from Kaposi’s Sarcoma, which is an opportunistic infection that comes when someone’s immune system is lowered due to HIV/AIDS. Kaposi’s is a type of cancer that causes legions on the body. Today he has legions in his mouth.
Patient #2 Information The patient is CJ Blue. He is 5’7” and weighs 198 pounds. He was born on December 29, 1989 in New York. His dad suffers from anxiety. His mom has arthritis. His grandfather has heart disease. He previously had an appendectomy (appendix removed). He takes Flonase for asthma. His blood pressure today was 120/80 mm Hg. His heart rate is 100 bpm. He is a graduate student at a university, who enjoys video games and web design. Today he has a flu-like illness. He had been taking Nyquil for a few days because he thought he had the flu. However, his HIV test just came back positive, so he knows it is not the flu.
Patient #3 Information The patient’s name is Naomi Green. She was born on January 1, 1981 in California. She is 5’3” and weighs 90 pounds. Her grandmother had colon cancer. Her dad and sister have diabetes. Her mom has heart disease. Her blood pressure today was 140/90 mm Hg. Her heart rate is 100 bpm. She is a stay at home mom, who enjoys planning philanthropic events and school fundraising. She is suffering from wasting syndrome, which means she is losing weight and muscle mass. Wasting syndrome is common with HIV and AIDS.
Patient # 4 Information The patient is Cynthia Orange. She is 5’10” and weighs 180 pounds. She was born on September 13, 1981 in Texas. Her grandmother had breast cancer. Her dad has type II diabetes. Her younger sister had leukemia but survived. She previously had surgery for a torn ACL while playing basketball. Her blood pressure today was 140/100 mm Hg. Her heart rate is 68 bpm. She is a scientist, who enjoys bird watching in her free time. Today she is suffering from joint pain and swollen lymph nodes. She had been taking ibuprofen because she did not know she had HIV until her test came back positive today.
12
Medicine Data Tables: (one copy per group)
Medicine A: NRTI (nucleoside reverse transcriptase inhibitor)
Gender D.O.B. T-cell count before treatment (cells/mm3)
Follow-up T-cell count after 3 months (cells/mm3)
Patient 1 M 1989 302 306
Patient 2 F 1957 417 417
Patient 3 F 1978 212 213
Medicine B: PI (protease inhibitor)
Gender D.O.B. T-Cell count before treatment (cells/mm3)
Follow-up T-cell count after 3 months (cells/mm3)
Patient 1 F 1963 436 440
Patient 2 M 1993 315 315
Patient 3 M 1984 281 282
Medicine C: HAART therapy (2 NRTIs and 1 PI)
Gender D.O.B. T-cell count before treatment (cells/mm3)
Follow-up T-cell count after 3 months (cells/mm3)
Patient 1 M 1999 404 409
Patient 2 M 1977 213 219
Patient 3 F 1950 340 347
Medicine D: Antibiotic
Gender D.O.B. Before treatment (cells/mm3)
Follow-up T-cell count after 3 months (cells/mm3)
Patient 1 M 1998 206 209
Patient 2 F 1968 300 300
Patient 3 F 1940 447 447
13
Name: __________________________
Date: ___________________________
HIV and Data Analysis Activity
Part I: Patient Medical Record
1. Congratulations, you are now doctors! Working in groups of 4, you must analyze your
patient’s histories and diagnose them with the appropriate conditions. Additionally, you
must also determine their current symptoms. Use the following charts to gather all the
necessary information.
2. Everyone in the group is responsible for filling in the medical record for 1 patient. Do not
duplicate patients so that they all get the help they need.
3. Review: HIV infects _________
a. Heart cells
b. T-cells
c. Red Blood Cells
4. What are potential consequences of having a weakened immune system?
Patient Medical Record
PATIENT INFORMATION
First M.I. Last
Name:
Date of Birth
Month Day Year
GENERAL INFORMATION
Temperature Normal: 98.6 °F
Weight Normal: Varies
Heart Rate Normal: 60-100 bpm
Blood Pressure Normal : 120/80 mm Hg
14
FAMILY HISTORY
PREVIOUS SURGERIES
CURRENT MEDICATIONS
CURRENT SYMPTOMS/OPPORTUNISTIC INFECTIONS
BLOOD TEST RESULTS (go to Pathology Lab to obtain results)
Date: / / Normal Range Normal? Y/N
Glucose 70 - 110 mg/dL
Hemoglobin 12 - 18 gm/dL
White Blood Cells (WBCs) 4,300 - 10,800 cells/µL
Red Blood Cells (RBCs) 4.2 - 6.9 million cells/µL
Platelets 150,000 - 350,000/mL
T-cell count 500-1000 cells/mm3
CURRENT CLASSIFICATION (T-cells/mm3)
Healthy >500 HIV+ 500-200 AIDS <200
Review: What are a few differences between HIV and AIDS?
15
Part II: Prescribing Medication
As you can see, patients diagnosed with HIV and AIDS have a broad range of symptoms. Now it is time to
prescribe a treatment option.
Dr. ___________________
Prescription Form
Medicine A: NRTI (nucleoside reverse transcriptase inhibitor) – this medicine inhibits reverse
transcription, so that viral RNA cannot create cDNA within the host cell.
Medicine B: PI (protease inhibitor) – This medicine prevents an enzyme (called protease) from
cleaving long HIV protein strands into smaller proteins, which are sent off in vesicles
to infect other cells.
Medicine C: HAART therapy “cocktail” (2 NRTIS and 1 PI) – a combination therapy.
Medicine D: Antibiotic – kills bacterial infections in the body.
1. Based on the descriptions of the medicines, which do you think will be most effective? Why?
2. Clinical trials were run for each of the 4 medicines listed above. The results are listed in the
“Medicine Data Tables” which have been provided to your group.
3. Divide up the 4 medicines among each of the 4 group members.
4. In order to determine which medicine is most effective in treating HIV/AIDS, a data analysis test
must be performed. In this case, we will use a t-test. Why is a t-test the appropriate test?
16
5. Perform the t-test for your assigned medicine. Medicine: __________________________
***Use a p-value of 0.05.***
H0 (null hypothesis):
(In this example, the Specified mean difference (µ) is 0. )
Ha (alternative hypothesis):
Total difference (add up differences for all patients between ‘ before’ and ‘after’ treatment): ________
Mean difference: ________ (total difference/number of patients)
Standard Deviation:
Standard Error:
T – value = (mean difference) – (specified mean difference) Standard Error
T –value =
D F= n-1 = ______
Now find the α-value. α = ______________
How does α compare to the p-value of 0.05? _________________________ (hint: greater or less than)
Share the results with your group.
Medicine A- t= ______ α=______
Medicine B - t= ______ α=______
Medicine C - t=______ α=______
Medicine D- t=_______ α=______
17
6. Which medicine has statistically significant results (meaning it was an effective treatment)?
7. Did you predict correctly? If not, why do you think your medicine was not as effective?
Part III: HIV treatments throughout the world
Studies done in the United States show that HAART therapy is effective in the treatment of HIV.
However, a group of researchers is trying to determine if HAART therapy will be effective in HIV+
patients in other countries. To test this, researchers collected the average t-cell counts after 3 months of
HAART therapy for men and women in Scienceville, USA. These are the results they found:
Location Gender Avg T-cell count after 3 months of HAART Therapy (cells/mm3)
Scienceville, USA Male 440
Scienceville, USA Female 451
Next, the researchers went to Medicineville, World. They tested the HAART therapy in 14 patients.
Results:
Location Gender Avg T-cell count after 3 months of HAART Therapy (cells/mm3)
Medicineville, World Female 490
Medicineville, World Female 501
Medicineville, World Female 477
Medicineville, World Male 460
Medicineville, World Female 470
Medicineville, World Male 455
Medicineville, World Male 478
Medicineville, World Female 471
Medicineville, World Male 457
Medicineville, World Male 463
Medicineville, World Male 460
Medicineville, World Female 480
Medicineville, World Male 468
Medicineville, World Female 471
18
1. A Chi Square Goodness of Fit test should be used to determine if the results observed in
Medicineville, World are statistically similar to the results obtained in Scienceville, USA
(expected results). Why would you use a Chi Square test and not a t-test?
2. Perform the Chi Square test. (use p = 0.05)
∑
H0 (null hypothesis)=
Ha (alternative hypothesis)=
Fill in the chart:
Gender Observed Expected (O-E) (O-E)2 ((O-E)2)/E)
X2 =
DF = n-1 = ________ α = __________
How does the α-value compare to the p-value?
3. Was there a statistically significant difference between the two populations?
19
Name: ______________________
Homework Assignment: HIV Statistics
The goal of this homework assignment is to learn more about HIV prevalence in the US and the World.
Part I: HIV by Age in the US
Source: http://www.cdc.gov/hiv/risk/age/youth/index.html
Using this graph, answer the following questions.
1. What is the mean age of diagnosis?
2. What is the median age of diagnosis?
3. What is the mode age of diagnosis?
4. Describe the distribution of the graph (ex: skewed, bimodal, etc).
20
Part II: HIV throughout the US
State/Dependent Area Number of Diagnoses of HIV Infection, 2011
California 5,973
Florida 5,403
Texas 5,065
New York 4,960
Georgia 2,522
Illinois 2,142
Maryland 1,783
North Carolina 1,672
New Jersey 1,567
Pennsylvania 1,545 Source: http://www.cdc.gov/hiv/statistics/basics/
5. Use the following information to construct an appropriate graph that accurately displays the
data.
6. Explain why you chose this type of graph.
7. Do you notice any trends? (For ex: geographic regions with high rates of HIV infection?)
21
Part III: HIV throughout the world
Geographical
region
Number of children (0-
14 years) receiving
antiretroviral therapy
Estimated number of
children needing
antiretroviral therapy
Percentage of
children receiving
coverage?
Sub-Saharan
Africa 495 700
1 830 000
Eastern and
southern Africa 426 800
1 310 000
West and central
Africa 68 900
520 000
Latin America
and the
Caribbean
17 000 39 000
Latin America 13 500 29 000
The Caribbean 3 500 10 200
East, South and
South-East Asia 44 400
111 000
Europe and
Central Asia 8 200
7 800
North Africa and
the Middle East 900
6 500
Total 566 000 1 990 000
Source: http://www.who.int/hiv/topics/paediatric/data/en/index1.html
8. Determine the percentage of children receiving treatment in each area of the world and
complete the chart.
9. What are reasons you can think of for why children in some world regions do not receive the
treatment they need?
22
Name: ANSWER KEY
HIV and Data Analysis Activity
Part I: Patient Medical Record
5. Congratulations, you are now doctors! Working in groups of 4, you must analyze your
patient’s histories and diagnose them with the appropriate conditions. Additionally, you
must also determine their current symptoms. Use the following charts to gather all the
necessary information.
6. Everyone in the group is responsible for filling in the medical record for 1 patient. Do not
duplicate patients so that they all get the help they need.
7. Review: HIV infects _________
d. Heart cells
e. T-cells
f. Red Blood Cells
8. What are potential consequences of having a weakened immune system?
Expect a variety of answers. Should be something along the lines of: easier to get other
illnesses/disease/etc.
Patient Medical Record
PATIENT INFORMATION – this information will vary for each member of the group
First M.I. Last
Name:
Date of Birth
Month Day Year
GENERAL INFORMATION - this information will vary for each member of the group
Temperature Normal: 98.6 °F
Weight Normal: Varies
Heart Rate Normal: 60-100 bpm
Blood Pressure Normal : 120/80 mm Hg
23
FAMILY HISTORY
this information will vary for each member of the group
PREVIOUS SURGERIES-
this information will vary for each member of the group
CURRENT MEDICATIONS
this information will vary for each member of the group
CURRENT SYMPTOMS/OPPORTUNISTIC INFECTIONS
this information will vary for each member of the group
BLOOD TEST RESULTS (go to Pathology Lab to obtain results) - this information will vary
Date: / / Normal Range Normal? Y/N
Glucose 70 - 110 mg/dL
Hemoglobin 12 - 18 gm/dL
White Blood Cells (WBCs) 4,300 - 10,800 cells/µL
Red Blood Cells (RBCs) 4.2 - 6.9 million cells/µL
Platelets 150,000 - 350,000/mL
T-cell count 500-1000 cells/mm3
CURRENT CLASSIFICATION (T-cells/mm3) - this information will vary for each member of the group
Healthy >500 HIV+ 500-200 AIDS <200
*Naomi Green and John Red both have AIDS
Review: What are a few differences between HIV and AIDS?
A variety of answers are acceptable including:
- Difference in t-cell counts
- Progression of the disease
- More opportunistic infections with AIDS
- Different acronyms
24
Part II: Prescribing Medication
As you can see, patients diagnosed with HIV and AIDS have a broad range of symptoms. Now it is time to
prescribe a treatment option.
Dr. ___________________
Prescription Form
Medicine A: NRTI (nucleoside reverse transcriptase inhibitor) – this medicine inhibits reverse
transcription, so that viral RNA cannot create cDNA within the host cell.
Medicine B: PI (protease inhibitor) – This medicine prevents an enzyme (called protease) from
cleaving long HIV protein strands into smaller proteins, which are sent off in vesicles
to infect other cells.
Medicine C: HAART therapy “cocktail” (2 NRTIS and 1 PI) – a combination therapy.
Medicine D: Antibiotic – kills bacterial infections in the body.
8. Based on the descriptions of the medicines, which do you think will be most effective? Why?
Expect different answers. Most likely answer is Medicine C - HAART
9. Clinical trials were run for each of the 4 medicines listed above. The results are listed in the
“Medicine Data Tables” which have been provided to your group.
10. Divide up the 4 medicines among each of the 4 group members.
11. In order to determine which medicine is most effective in treating HIV/AIDS, a data analysis test
must be performed. In this case, we will use a t-test. Why is a t-test the appropriate test?
Comparing paired data with before and after
25
12. Perform the t-test for your assigned medicine. Medicine:__A and B______________
H0 (null hypothesis): There is no difference between the before and after OR µ is 0.
(In this example, the Specified mean difference (µ) is 0.
Ha (alternative hypothesis):
There is a difference between the before and after OR µ is not 0.
Total difference (add up differences for all patients between ‘ before’ and ‘after’ treatment): __5____
Mean difference: __1.67______ (total difference/number of patients)
Standard Deviation:
√
=2.08
Standard Error:
√
T – value = (mean difference) – (specified mean difference) Standard Error
T –value = (1.67-0)/1.20 = 1.39
D F= n-1 = __2____
Now find the α-value. α>0.1
How does α compare to the p-value of 0.05? α > 0.1 therefore greater than the p-value
13. Share the results with your group.
Medicine A- t= __1.39_____ α>_0.1_____
Medicine B - t= __1.39_____ α>_0.1_____
Medicine C - t= __10.4____ α<__0.05___
Medicine D- t= __1.0_____ α>__0.1____
26
1. Perform the t-test for your assigned medicine. Medicine:__C ______________
H0 (null hypothesis): There is no difference between the before and after OR µ is 0.
(In this example, the Specified mean difference (µ) is 0.
Ha (alternative hypothesis):
There is a difference between the before and after OR µ is not 0.
Total difference (add up differences for all patients between ‘ before’ and ‘after’ treatment): __18____
Mean difference: __6______ (total difference/number of patients)
Standard Deviation:
√
=1
Standard Error:
√
T – value = (mean difference) – (specified mean difference) Standard Error
T –value = (6-0)/.578 = 10.4
D F= n-1 = __2____
Now find the α-value. α<0.005
How does α compare to the p-value of 0.05? α < .05 therefore less than the p-value
2. Share the results with your group.
Medicine A- t= __1.39_____ α>_0.1_____
Medicine B - t= __1.39_____ α>_0.1_____
Medicine C - t= __10.4____ α<__0.05___
Medicine D- t= __1.0_____ α>__0.1____
27
1. Perform the t-test for your assigned medicine. Medicine:__D______________
H0 (null hypothesis): There is no difference between the before and after OR µ is 0.
(In this example, the Specified mean difference (µ) is 0.
Ha (alternative hypothesis):
There is a difference between the before and after OR µ is not 0.
Total difference (add up differences for all patients between ‘ before’ and ‘after’ treatment): __3____
Mean difference: __1______ (total difference/number of patients)
Standard Deviation:
√
=1.73
Standard Error:
√
T – value = (mean difference) – (specified mean difference) Standard Error
T –value = (1-0)/1 = 1
D F= n-1 = __2____
Now find the α-value. α>0.1
How does α compare to the p-value of 0.05? α > 0.1 therefore greater than the p-value
2. Share the results with your group.
Medicine A- t= __1.39_____ α>_0.1_____
Medicine B - t= __1.39_____ α>_0.1_____
Medicine C - t= __10.4____ α<__0.05___
Medicine D- t= __1.0_____ α>__0.1____
28
3. Which medicine has statistically significant results (meaning it was an effective treatment)?
Medicine C- HAART
4. Did you predict correctly? If not, why do you think your medicine was not as effective?
Answers will vary by student. Expect all kinds of hypotheses.
Part III: HIV treatments throughout the world
Studies done in the United States show that HAART therapy is effective in the treatment of HIV.
However, a group of researchers is trying to determine if HAART therapy will be effective in HIV+
patients in other countries. To test this, researchers collected the average t-cell counts after 3 months of
HAART therapy for men and women in Scienceville, USA. These are the results they found:
Location Gender Avg T-cell count after 3 months of HAART Therapy (cells/mm3)
Scienceville, USA Male 440
Scienceville, USA Female 451
Next, the researchers went to Medicineville, World. They tested the HAART therapy in 15 patients.
Results:
Location Gender Avg T-cell count after 3 months of HAART Therapy (cells/mm3)
Medicineville, World Female 490
Medicineville, World Female 501
Medicineville, World Female 477
Medicineville, World Male 460
Medicineville, World Female 470
Medicineville, World Male 455
Medicineville, World Male 478
Medicineville, World Female 471
Medicineville, World Male 457
Medicineville, World Male 463
Medicineville, World Male 460
Medicineville, World Female 480
Medicineville, World Male 468
Medicineville, World Female 471
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4. A Chi Square Goodness of Fit test should be used to determine if the results observed in
Medicineville, World are statistically similar to the results obtained in Scienceville, USA
(expected results). Why would you use a Chi Square test and not a t-test?
Because you are comparing observed and expected.
5. Perform that test.
∑
H0 (null hypothesis)= there is no difference in male and female populations
Ha (alternative hypothesis)= at least one gender is different
Fill in the chart:
Gender Observed Expected (O-E) (O-E)2 ((O-E)2)/E)
Male
463
440
23
529
1.20
Female
480
451
29
841
1.86
X2 =
DF = n-1 = __2______ α = ___is between 0.1 and 0.15_______
How does the α-value compare to the p-value?
The α-value is greater than the p-value.
6. Was there a statistically significant difference between the two populations? If so, what reasons
can you think of for why HAART therapy affected the patients in Medicineville, World differently
than the patients in Scienceville, USA? If not, what does this mean?
No, there is no significant difference. Therefore HAART is effective in all populations.
3.06
30
Name: ______________________
Homework Assignment: HIV Statistics
The goal of this homework assignment is to learn more about HIV prevalence in the US and the World.
Part I: HIV by Age in the US
Source: http://www.cdc.gov/hiv/risk/age/youth/index.html
Using this graph, answer the following questions.
10. What is the mean age range of diagnosis? Ages 30-34
11. What is the median age range of diagnosis? Ages 35-39
12. What is the mode age range of diagnosis? Ages 20-24
13. Describe the distribution of the graph (ex: skewed, bimodal, etc).
Could say it is bimodal, skewed left, expect different results
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Part II: HIV throughout the US
State/Dependent Area Number of Diagnoses of HIV Infection, 2011
California 5,973
Florida 5,403
Texas 5,065
New York 4,960
Georgia 2,522
Illinois 2,142
Maryland 1,783
North Carolina 1,672
New Jersey 1,567
Pennsylvania 1,545 Source: http://www.cdc.gov/hiv/statistics/basics/
14. Use the following information to construct an appropriate graph that accurately displays the
data.
*could be a variety of graphs, most likely is bar graph
15. Explain why you chose this type of graph.
Answers will vary by student
16. Do you notice any trends? (For ex: geographic regions with high rates of HIV infection? What
about the populations of these states?)
The north and south (depending on what student classifies as geographic region) do
tend to see higher rates of HIV. Could mention states with higher populations have
higher rates, etc.
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Part III: HIV throughout the world
Geographical
region
Number of children (0-
14 years) receiving
antiretroviral therapy
Estimated number of
children needing
antiretroviral therapy
Percentage of
children receiving
coverage?
Sub-Saharan
Africa 495 700
1 830 000
27%
Eastern and
southern Africa 426 800
1 310 000
33%
West and central
Africa 68 900
520 000
13%
Latin America
and the
Caribbean
17 000 39 000
43%
Latin America 13 500 29 000
46%
The Caribbean 3 500 10 200
34%
East, South and
South-East Asia 44 400
111 000
40%
Europe and
Central Asia 8 200
7 800
>95%
North Africa and
the Middle East 900
6 500
14%
Total 566 000 1 990 000
28%
Source: http://www.who.int/hiv/topics/paediatric/data/en/index1.html
17. Determine the percentage of children receiving treatment in each area of the world and
complete the chart.
18. What are reasons you can think of for why children in some world regions do not receive the
treatment they need?
Expect a wide range of answers. Sample reasons include: cannot afford treatment, no
access to doctors, live in remote areas with no access to treatment, do not know
treatment exists, do not want treatment, are too young to seek treatment on their
own, etc.
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Discussion Questions
1. Lots of treatment options have terrible side effects. Is it okay for doctors to prescribe medicines
that will make patients suffer, if the end result is good?
2. Can HIV be transferred by hugs? Sharing utensils? Standing next to an infected person?
Therefore, should we treat infected people differently?
3. Can you think of any celebrities with HIV or AIDS?
4. Think of common stereotypes of people with HIV/AIDS. Are they all true?
5. People who take medicines for a long period of time often develop drug resistance. What does
this mean? What can be done to avoid this? What can patients/doctors do if this occurs?
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