Question

# Conduct the following test at the α=0.01 level of significance by determining ​(a) the null and...

Conduct the following test at the α=0.01 level of significance by determining ​(a) the null and alternative​hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. Assume that the samples were obtained independently using simple random sampling.

Test whether p1≠p2. Sample data are x1=30​, n1=254​, x2=36​, and n2=302.

​(a) Determine the null and alternative hypotheses. Choose the correct answer below.

A. H0: p1=0 versus H1: p1=0

B. H0: p1=p2 versus H1: p1<p2

C. H0: p1=p2 versus H1: p1>p2

D. H0: p1=p2 versus H1: p1≠p2

​(b) The test statistic z0 is ____

​(Round to two decimal places as​ needed.)

​(c) The​ P-value is ____

​(Round to three decimal places as​ needed.)

Test the null hypothesis. Choose the correct conclusion below.

A.Reject the null hypothesis because there is not sufficient evidence to conclude that p1<p2.

B.Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1≠p2.

C.Reject the null hypothesis because there is sufficient evidence to conclude that p1≠p2.

D.Do not reject the null hypothesis because there is sufficient evidence to conclude that p1>p2

Answer #1

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