Question

#7 Conduct the following test at the alphaequals0.01 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 p 1 not equals p 2. Sample data are x 1 equals 28​, n 1 equals 255​, x 2 equals 36​, and n 2 equals 302. ​(a) Determine the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 not equals p 2 B. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 greater than p 2 C. Upper H 0 : p 1 equals p 2 versus Upper H 1 : p 1 less than p 2 D. Upper H 0 : p 1 equals 0 versus Upper H 1 : p 1 equals 0 ​(b) The test statistic z 0 is nothing. ​(Round to two decimal places as​ needed.) ​(c) The​ P-value is nothing. ​(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 p 1 less than p 2. B. Reject the null hypothesis because there is sufficient evidence to conclude that p 1 not equals p 2. C. Do not reject the null hypothesis because there is sufficient evidence to conclude that p 1 greater than p 2. D. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p 1 not equals p 2.

Answer 1