Conduct the following test at the a = 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 is equal to P2. Sample data are X1 = 28, n1 = 254, X2 = 302, and n2 = 302.
(a) Determine the null and alternative hypotheses. Choose the correct answer below:
Ho: P1 = P2 versus Ha: P1 ≠ P2
Ho: P1 = 0 versus Ha: P1 ≠ 0
Ho: P1 = P2 versus Ha: P1 < P2
Ho: P1 = P2 versus Ha: P1 > P2
(b) The test statistic Z is ________.
(Round to two decimal places as needed)