ap statistics inference review
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AP Statistics Inference Review. Chapters 18-25. Remember Your Formulas. 1 Proportion: CI = Hypothesis Test: z = . 1 Sample or Matched Pairs t-test CI = Hypothesis Test: t df = . 2 Proportion: CI = Hypothesis Test: z = . 2 Sample t-test: CI: Hypothesis Test: t df =. - PowerPoint PPT PresentationTRANSCRIPT
AP StatisticsInference Review
Chapters 18-25
Remember Your Formulas
1 Proportion:
CI =
Hypothesis Test: z =
nqpzpˆˆˆ
npqpp ˆ
2 Proportion:
CI =
Hypothesis Test: z =
2
22
1
1121
ˆˆˆˆ)ˆˆ(
nqp
nqpzpp
21
21 0)ˆˆ(
nqp
nqp
pp
poolpoolpoolpool
1 Sample or Matched Pairs t-test
CI =
Hypothesis Test: tdf = ns
x nstx df
2 Sample t-test:
CI:
Hypothesis Test: tdf =2
22
1
21
21 0)(
ns
ns
xx
2
22
1
21
21 )(ns
nstxx df
Remember PANIC for CI’s and PHANTOMS for Hypothesis Tests
ParameterAssumptionName Test and StatisticsInterval (Include Formula)Conclusion
ParameterHypothesis (p or mu)Assumptions/ConditionsName TestTest StatisticsObtain P (Include formula and distribution)Make Decision (Never accept Ho
State Conclusion (In Context)
Name Statistics: n = 50, p-hat = .7, q-hat = .3
Interval:
50)3)(.7(.96.17. CI
Conclusion:
Parameter: p = proportion of city workers who are also in the union
Hypothesis:
Independent: Each person being in The union should be independent
Name: One proportion z-test
Test Statistics: p-hat = .12, p = .135, q = .865, n = 2000
Obtain P:2000
)865)(.135(.135.12.
z
Decision:
Conclusion:
Parameter:
Assumptions:
Name: 2 Proportion z-Interval
Interval: 1000
)983)(.017(.1000
)935)(.065(.576.2)017.065(. CI
Conclusion:
Parameter: Ps = Proportion of suburban students that failed AP exam Pr = Proportion of rural students that failed AP exam
Hypothesis: Ho: Ps = Pr, Ha: Ps ≠ PrAssumptions:
10%: Both 107 and 143 are less than 10%of rural and suburban students that took AP exam.
Name: 2 Proportion z-test
Test Statistics:
Obtain P:
59.
143)7)(.3(.
107)7)(.3(.
0)315.280(.
z
P =.56
Make Decision: Fail to reject Ho
State Conclusion:
Parameter:
Assumptions:
Random: It is a random selection of daysduring the year.Nearly Normal: The histogram is roughly unimodal and symmetricIndependent: Each car’s speed shouldbe independent10%: 20 cars is less than 10% of all carsthat pass through when the sign is flashing
Name Test:
Interval:
2024.76.24 19tCI
Conclusion:
Parameter: U = average # of hours students watch TV per week from Central High
Hypothesis: Ho: U = 13, Ha: U > 13
Assumptions:
Nearly Normal: Histogram is roughly unimodaland symmetric.
Random: Students were randomly selected
Independent: TV watching among students should be independent
10%: 25 students is less than 25% of all studentsat CHS.
Name Test:
Test Statistics:
Obtain P:
Conclusion:
Parameter:
Assumptions:
Name:
Interval:
1653.2
1612.3131.2)14625.15(
22
CI
Conclusion:
Parameter: Um = mean death age of men, Uw = mean death age of women
Hypothesis: Ho: Um = Uw, Ha: Um < Uw
Assumptions:
Name Test:
Test Statistics:
Obtain P:
4043.16
4849.12
0)7.7833.68(228.71
t
Conclusion:
Parameter: Ud = The mean difference in unemployment rate between Australia and UK
Assumptions:
Assumptions continued:
Nearly Normal: Histogram is roughlyunimodal and symmetric
10%: 1990 – 2000 represents less than 10% ofAll of the years
Name:
Interval:
Conclusion:
Parameter: Ud = The mean difference in employment rate between Males and Females
Hypothesis:
Assumptions:Name: Match paired t-test
Test Statistics:
Obtain P:
8166.713
0125.3467
t
Make Decision: Fail to reject Ho
State Conclusion: