In: Statistics and Probability
Conduct the following test at the a=0.10 level of significance by determining (a) the null and alternative hypothesis, (b) the test statistic, and (c) the P-value. Assume that the samples were obtained independently using simple random sampling.
Test whether p1 is not equal p2. Sample data are x1=30, n1=255, x2=36, and n2=301
(a) Determine the null and alternative hypotheses.
A) H0: p1=p2 versus H1: p1<p2
B)H0: p1=0 versus H1: p1=0
C) H0: p1=p2 versus H1: p1 =/ (not equal) 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 answer.
A) Do not reject the null hypothesis because there is sufficient evidence to conclude that p1>p2
B) Do not reject the null hypothesis because there is not sufficient evidence to conclude that p1 is not equal p2
C) Reject the null hypothesis because there is sufficient evidecne to conclude that p1 is not equal p2
D) Reject the null hypothesis because there is not sufficient evidence to conclude that p1<p2