AP Statistics Inference Review Chapters 18-25. Remember Your Formulas 1 Proportion: CI = Hypothesis...
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Transcript of AP Statistics Inference Review Chapters 18-25. Remember Your Formulas 1 Proportion: CI = Hypothesis...
AP StatisticsInference Review
Chapters 18-25
Remember Your Formulas
1 Proportion:
CI =
Hypothesis Test: z =
n
qpzp
ˆˆˆ
npq
pp ˆ
2 Proportion:
CI =
Hypothesis Test: z =
2
22
1
1121
ˆˆˆˆ)ˆˆ(
n
qp
n
qpzpp
21
21 0)ˆˆ(
n
qp
n
qp
pp
poolpoolpoolpool
1 Sample or Matched Pairs t-test
CI =
Hypothesis Test: tdf = n
sx
n
stx df
2 Sample t-test:
CI:
Hypothesis Test: tdf =2
22
1
21
21 0)(
ns
ns
xx
2
22
1
21
21 )(n
s
n
stxx 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:
20
24.76.24 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:
16
53.2
16
12.3131.2)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:
8
166.7130125.346
7
t
Make Decision: Fail to reject Ho
State Conclusion: