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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?” 55% of the men and 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.
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a. Set up the null and alternative hypotheses for testing whether the percentage of men who prefer keeping track of appointments in their head, p 1,is larger than the corresponding percentage of women, p2 . Choose the correct answer below.
A. Ho: P1- P2 = 0 versus Ha: P1-P2 > 0 B. Ho: P1- P2 = 0 versus Ha: P1-P2 ≠ 0 C. Ho: P1- P2 = 0 versus Ha: P1-P2 <>
b. Compute the test statistic for the test. _ (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.) A. z = _ B. z ≤ _ C. z > D. z ≤ or z > _
d. Find the p-value for the test.
The p-value for the test is _.(Round to four decimal places as needed.)
e. Make an appropriate conclusion. Choose the correct answer below.
A. Since the p-value is less than the given value of a, there is insufficient evidence to reject H 0. B. Since the p-value is less than the given value of a, there is sufficient evidence to reject H0. C. Since the p-value is greater than the given value of a, there is sufficient evidence to reject H0. D. Since the p-value is greater than the given value of a, there is insufficient evidence to reject H0.
