Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with10 having a common attribute. The second sample consists of 1900 people with 1352 of them having the same common attribute. Compare the results from a hypothesis test of p1=p 2 (with a 0.01 significance level) and a 99% confidence interval estimate of p1−p2. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1greater than>p 2p2 B. Upper H 0H0: p 1p1not equals≠p 2p2 Upper H 1H1: p 1p1equals=p 2p2 C. Upper H 0H0: p 1p1less than or equals≤p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 D. Upper H 0H0: p 1p1greater than or equals≥p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 E. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1less than<p 2p2 F. Upper H 0H0: p 1p1equals=p 2p2 Upper H 1H1: p 1p1not equals≠p 2p2 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 p1≠p 2. The 99% confidence interval is _ < ( p1- p2) <_ . (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 p1 ≠ p2, and the confidence interval suggests that p1=p2.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two different simple random samples are drawn from two different populations. The first sample consists of 20 people with10 having a common attribute. The second sample consists of 1900 people with 1352 of them having the same common attribute. Compare the results from a hypothesis test of p1=p 2 (with a 0.01 significance level) and a 99% confidence interval estimate of p1−p2.

What are the null and alternative hypotheses for the hypothesis test?

Upper H 0H0:

p 1p1equals=p 2p2

Upper H 1H1:

p 1p1greater than>p 2p2

Upper H 0H0:

p 1p1not equals≠p 2p2

Upper H 1H1:

p 1p1equals=p 2p2

Upper H 0H0:

p 1p1less than or equals≤p 2p2

Upper H 1H1:

p 1p1not equals≠p 2p2

Upper H 0H0:

p 1p1greater than or equals≥p 2p2

Upper H 1H1:

p 1p1not equals≠p 2p2

Upper H 0H0:

p 1p1equals=p 2p2

Upper H 1H1:

p 1p1less than<p 2p2

Upper H 0H0:

p 1p1equals=p 2p2

Upper H 1H1:

p 1p1not equals≠p 2p2

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 p1≠p 2.

The 99% confidence interval is _ < ( p1- p2) <_ .

(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 p1 ≠ p2, and the confidence interval suggests that p1=p2.

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