Conduct the following test at the =0.05 level of significance by determining (a) the null and alternativehypotheses, (b) the teststatistic, and(c) theP-value. Assume that the samples were obtained independently using simple random sampling.

Test whether p1p2. Sample data are x1=28, n1=254, x2=38, and n2=302.

Determine the null and alternative hypotheses

(b) The test statistic z0 is

. (Round to two decimal places asneeded.)

(c) TheP-value is

. (Round to three decimal places asneeded.)

Test the null hypothesis. Choose the correct conclusion below.

A.

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

B.

Reject the null hypothesis because there is not sufficient evidence to conclude that p1

C.

Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1p2.

D.

Reject the null hypothesis because there is sufficient evidence to conclude that p1p2.