Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 2000 people with 1414 of them having the same common attribute. Compare the results from a hypothesis test of p, =P2 (with a 0.05 significance level) and a 95% confidence interval estimate of p, -P. H: P P2 H: P >P2 H:P, =P2 OF. Ho: P, SPz OE Ho: P1 =P2 H: P,

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 2000 people with 1414 of them having the same common
attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p, - p2.
TP1 P2
P2
H1: P1 = P2
H1: P1 #P2
H1: P1 > P2
O F. Ho: P1 S P2
H1:P, #P2
OD. Ho: P12 P2
O E. Ho: P1 = P2
H: P1 #P2
Hq:P1 <P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
The test statistic is
the critical region, so
the null hypothesis. There is
evidence to conclude that p,
The 95% confidence interval is< (P1- P2) <U-
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Since 0 is
in the interval, it indicates to
the null hypothesis.
How do the results from the hypothesis test and the confidence interval compare?
since the hypothesis test suggests that p,
P2, and the confidence interval suggests that p,
P2:
The results are
Click to select your answer(s).
Transcribed Image Text:Question Help Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with 9 having a common attribute. The second sample consists of 2000 people with 1414 of them having the same common attribute. Compare the results from a hypothesis test of p, = p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p, - p2. TP1 P2 P2 H1: P1 = P2 H1: P1 #P2 H1: P1 > P2 O F. Ho: P1 S P2 H1:P, #P2 OD. Ho: P12 P2 O E. Ho: P1 = P2 H: P1 #P2 Hq:P1 <P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is the conclusion based on the hypothesis test? The test statistic is the critical region, so the null hypothesis. There is evidence to conclude that p, The 95% confidence interval is< (P1- P2) <U- (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is in the interval, it indicates to the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? since the hypothesis test suggests that p, P2, and the confidence interval suggests that p, P2: The results are Click to select your answer(s).
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