hypothesis testing a claim on a population proportion (p)…and a 4 – step plan for hypothesis...
TRANSCRIPT
![Page 1: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/1.jpg)
Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing
•Question: Is a flu vaccine working? (data sheet)
(aside) Step 11: the future?
![Page 2: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/2.jpg)
![Page 3: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/3.jpg)
(If the vaccine is ineffective)
![Page 4: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/4.jpg)
(If the vaccine is effective)
![Page 5: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/5.jpg)
We say the vaccine is working (“Reject HO”)
We say the vaccine is not working (“Fail to Reject HO”)
![Page 6: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/6.jpg)
P(we say the vaccine is working and we’re wrong)
= 3.2% (in our sample)
P(we say the vaccine is working and we’re right)
= ?
![Page 7: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/7.jpg)
P(we say the vaccine isn’t working and we’re right)
= 96.8% (in our sample)
P(we say the vaccine isn’t working and we’re wrong)
= 1 - ?
![Page 8: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/8.jpg)
P(we say the vaccine is working and we’re wrong)
(AKA Type 1 error)…P = 5%
P(we say the vaccine isn’t working and we’re right)
(good!)
P(we say the vaccine isn’t working and we’re wrong)(AKA Type 2 error)
P(we say the vaccine is working and we’re right)
(good!)
![Page 9: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/9.jpg)
![Page 10: Hypothesis Testing a Claim on a Population Proportion (p)…and a 4 – step plan for Hypothesis Testing Question: Is a flu vaccine working? (data sheet) (aside)](https://reader036.vdocuments.us/reader036/viewer/2022062314/56649eff5503460f94c149dd/html5/thumbnails/10.jpg)
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