In a sample of 42 men, 26 said that they had less leisure time today than they had 10 years ago. In a sample of 42 women, 32 women said that they had less leisure time today than they had 10 years ago. At a=0.01, is there a difference in the proportions? Use p1 for the proportion of men with less leisure time. (a)State the hypotheses and identify the claim. H0: claim/ do not claim H1: claim/do not claim This hypothesis test one tailed/two tailed a (Choose one) test. (b)Find the critical value. Round the answer to at least two decimal places. Critical value is (c)Compute the test value. Round sample proportions to three decimal places and z-score values to at least two decimal places z= (d)Make the decision. Reject/ do not reject (Choose one) the null hypothesis. (e)Summarize the results. There is/is not ▼(Choose one) enough evidence to support the claim that the proportions are different. Find the 99% confidence interval for the difference of the two proportions. Round the answers to three decimal places.
In a sample of 42 men, 26 said that they had less leisure time today than they had 10 years ago. In a sample of 42 women, 32 women said that they had less leisure time today than they had 10 years ago. At a=0.01, is there a difference in the proportions? Use p1 for the proportion of men with less leisure time.
(a)State the hypotheses and identify the claim.
H0: claim/ do not claim
H1: claim/do not claim
This hypothesis test one tailed/two tailed a (Choose one) test.
(b)Find the critical value. Round the answer to at least two decimal places.
Critical value is
(c)Compute the test value. Round sample proportions to three decimal places and z-score values to at least two decimal places
z=
(d)Make the decision.
Reject/ do not reject (Choose one) the null hypothesis.
(e)Summarize the results.
There is/is not ▼(Choose one) enough evidence to support the claim that the proportions are different.
Find the 99% confidence interval for the difference of the two proportions. Round the answers to three decimal places.
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