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.
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 < 0
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.
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 < 0
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.
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