X 9.4.68 A newspaper reported the results of a survey on the planning habits of men and women. In response to the question "What is. your preferred method of planning and keeping track of meetings, appointments, and deadlines?" 54% of the men an- 43% of the women answered "I keep them in my head." A nationally representative sample of 1,000 adults participated in the survey; therefore, assume that 500 were men and 500 were women. Complete parts a through e. a. Set up the null and alternative hypotheses for testing whether the percentage of men who prefer keeping track of appointments in their head, p1, is larger than the corresponding percentage of women, p2. Choose the correct answer below. A. Ho: P1 -P2 =0 versus H: P1 - P2 >0 O B. Hn: P1 - P2 =0 versus Ha: P1 - P2 # 0 O C. Ho: P1 - P2 =0 versus H: P1 - P2 <0 b. Compute the test statistic for the test. 3.48 (Round to two decimal places as needed.) c. Give the rejection region for the test, using a= 0.01. Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. Z= VB. z> 2.33 O C. z< - O D. z< - or z> d. Find the p-value for the test. The p-value for the test is- (Round four decimal places as needed.)