Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 15 having a common attribute. The second sample consists of 1900 people with 1349 of them having the san 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 What are the null and altemative hypotheses for the hypothesis test? O A. Ho: P, 2p2 H: P P2 O B. Ho: P1 SP2 H: P P2 O C. Ho: P "pz H P.

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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The first box options are "not in" or "in". Second box is "reject" or "fail to reject" third is "is" or "is not". 

next sentence first box is "included" or "not". Second box is "reject" or "fail to reject".

third sentence first box is "different" or "the same" second box is <,>,= etc. & third box is the same options 

Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 15 having a common attribute. The second sample consists of 1900 people with 1349 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.
"0- P1-P2
H: P1 > P2
10. P1T P2
H1: P1 P2
H:P =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, #p2.
D< (P1 - 2) <O
The 95% confidence interval is
(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 30 people with 15 having a common attribute. The second sample consists of 1900 people with 1349 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. "0- P1-P2 H: P1 > P2 10. P1T P2 H1: P1 P2 H:P =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, #p2. D< (P1 - 2) <O The 95% confidence interval is (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 30 people with 15 having a common attribute. The second sample consists of 1900 people with 1349 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.
What are the null and alternative hypotheses for the hypothesis test?
O C. Ho: P1 =P2
H: P, <P2
O B. Ho: P1 SP2
O A. Ho: P12 P2
H: P1 #P2
H: P, #P2
OF. Ho P1= P2
OD. Ho: P1 P2
H1: P #P2
O E. Ho: P1 # pP2
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?
the critical region, so
the null hypothesis. There is
evidence to conclude that p, +P2.
The test statistic is
The 95% confidence interval is< (P1 -P2) <
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Transcribed Image Text:Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 15 having a common attribute. The second sample consists of 1900 people with 1349 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. What are the null and alternative hypotheses for the hypothesis test? O C. Ho: P1 =P2 H: P, <P2 O B. Ho: P1 SP2 O A. Ho: P12 P2 H: P1 #P2 H: P, #P2 OF. Ho P1= P2 OD. Ho: P1 P2 H1: P #P2 O E. Ho: P1 # pP2 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? the critical region, so the null hypothesis. There is evidence to conclude that p, +P2. The test statistic is The 95% confidence interval is< (P1 -P2) < (Round to three decimal places as needed.) What is the conclusion based on the confidence interval?
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