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 alternativehypotheses, (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
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