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 2100 people with 1512 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? OB. Hg: P SP2 H PP2 OA. H P"P2 H: PP2 OD. Hg P P2 OC. H: P "P2 H: Pi P2 OE H P2P2 H P 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 V the null hypothesis. There is V evidence to conclude that p, #p2 The 95% confidence interval isD (P -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

30

people with

15

having a common attribute. The second sample consists of

2100

people with

1512

of them having the same common attribute. Compare the results from a hypothesis test of

p1=p2

​(with a

0.05

significance​ level) and a

95​%

confidence interval estimate of

p1−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 2100 people with 1512 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 A. Ho: P1 = P2
H1: P1 # P2
O B. Ho: P1 sP2
H1: P1 # P2
OC. Ho: P1 = P2
H1: P1 <P2
O D. Ho: P1 + P2
H1: P1 = P2
O E. Ho: P1 2 P2
H: P1 P2
OF. Ho: 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 test statistic is
the critical region, so
V the null hypothesis. There is
evidence to conclude that p, #p2.
The 95% confidence interval is < (P1 - P2)
(Round to three decimal places as
eded.)
What is the conclusion based on the confidence interval?
Since 0 is
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
p2, and the confidence interval suggests that p,
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 2100 people with 1512 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 A. Ho: P1 = P2 H1: P1 # P2 O B. Ho: P1 sP2 H1: P1 # P2 OC. Ho: P1 = P2 H1: P1 <P2 O D. Ho: P1 + P2 H1: P1 = P2 O E. Ho: P1 2 P2 H: P1 P2 OF. Ho: 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 test statistic is the critical region, so V the null hypothesis. There is evidence to conclude that p, #p2. The 95% confidence interval is < (P1 - P2) (Round to three decimal places as eded.) What is the conclusion based on the confidence interval? Since 0 is 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 p2, and the confidence interval suggests that p,
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