Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2200 people with 1603 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, - P2. OC. Ho: P1 S P2 H1: P1 #P2 O B. Ho: P1 = P2 O A. Ho: P1 = P2 H1: P1 > P2 H:P1 #P2 O F. Ho: P1 = P2 H: P1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second
sample consists of 2200 people with 1603 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p, - p2.
(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
V the critical region, so
the null hypothesis. There is
V evidence to conclude that p, #p2.
O< (P. - P2) <O
The 99% confidence interval is
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Since 0 is
V in the interval, it indicates to
V the null hypothesis.
How do the results from the hypothesis test and the confidence interval compare?
The results are
since the hypothesis test suggests that p1
VP2, and the confidence interval suggests that p,
P2-
Click to select your answer(s).
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2200 people with 1603 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, - p2. (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 V the critical region, so the null hypothesis. There is V evidence to conclude that p, #p2. O< (P. - P2) <O The 99% confidence interval is (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Since 0 is V in the interval, it indicates to V the null hypothesis. How do the results from the hypothesis test and the confidence interval compare? The results are since the hypothesis test suggests that p1 VP2, and the confidence interval suggests that p, P2- Click to select your answer(s).
Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second
sample consists of 2200 people with 1603 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance
level) and a 99% confidence interval estimate of p, - p2.
O A. Ho: P1 =P2
H1: P1 > P2
O B. Ho: P1 = P2
H4:P, #P2
O C. Ho: P1 sp2
H1: P1 #P2
O F. Ho: P1 = P2
O D. Ho: P1 #P2
H1: P1 = P2
O E. Ho: P1 2 P2
H:P1 #P2
H,: 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?
Click to select your answer(s).
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 having a common attribute. The second sample consists of 2200 people with 1603 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.01 significance level) and a 99% confidence interval estimate of p, - p2. O A. Ho: P1 =P2 H1: P1 > P2 O B. Ho: P1 = P2 H4:P, #P2 O C. Ho: P1 sp2 H1: P1 #P2 O F. Ho: P1 = P2 O D. Ho: P1 #P2 H1: P1 = P2 O E. Ho: P1 2 P2 H:P1 #P2 H,: 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? Click to select your answer(s).
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