o different simple random samples are drawn from two different populations. The first sample consists of 40 people with 21 having a common attribute. The cond sample consists of 1800 people with 1314 of them having the same common attribute. Compare the results from a hypothesis test of p, = P2 (with a 0.05 nificance level) and a 95% confidence interval estimate of p, - P2. nat is the conclusion based on the hypothesis test? the critical region, so the null hypothesis. There is evidence to conclude that p, # P2. e test statistic is e 95% confidence interval is O< (P1 - P2)

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 40 people with 21 having a common attribute. The
second sample consists of 1800 people with 1314 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 p1 - P2-
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, # p2-
The 95% confidence interval is O< (P, -P2) <L
(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?
The results are
since the hypothesis test suggests that p,
P2, and the confidence interval suggests that p,
P2-
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 21 having a common attribute. The second sample consists of 1800 people with 1314 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 p1 - P2- 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, # p2- The 95% confidence interval is O< (P, -P2) <L (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? The results are since the hypothesis test suggests that p, P2, and the confidence interval suggests that p, P2-
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 21 having a common attribute. The
second sample consists of 1800 people with 1314 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 p1 - P2-
What are the null and alternative hypotheses for the hypothesis test?
O A. Ho: P1 SP2
H1: P1 # P2
O B. Ho: P1 = P2
H1: P1 > P2
OC. Ho: P1 = P2
H1: P1 <P2
O D. Hg: P1= P2
O E. Ho: P1 2 P2
H1: P1 # P2
OF. Ho: P, # P2
H1: P1 = P2
H1: P1 + P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value(s).
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 21 having a common attribute. The second sample consists of 1800 people with 1314 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 p1 - P2- What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P1 SP2 H1: P1 # P2 O B. Ho: P1 = P2 H1: P1 > P2 OC. Ho: P1 = P2 H1: P1 <P2 O D. Hg: P1= P2 O E. Ho: P1 2 P2 H1: P1 # P2 OF. Ho: P, # P2 H1: P1 = P2 H1: P1 + P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value(s).
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