n a sample of 52 men, 39 said that they had less leisure time today than they had 10 years ago. In a sample of 52 women, 32 women said that they had less leisure time today than they had 10 years ago. At α=0.10, is there a difference in the proportions? Use p1 for the proportion of men with less leisure time. State the hypotheses and identify the claim with the correct hypothesis.
n a sample of 52 men, 39 said that they had less leisure time today than they had 10 years ago. In a sample of 52 women, 32 women said that they had less leisure time today than they had 10 years ago. At α=0.10, is there a difference in the proportions? Use p1 for the proportion of men with less leisure time. State the hypotheses and identify the claim with the correct hypothesis.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a sample of 52 men, 39 said that they had less leisure time today than they had 10 years ago. In a sample of 52 women,
32 women said that they had less leisure time today than they had 10 years ago. At α=0.10, is there a difference in the proportions?
Use p1 for the proportion of men with less leisure time.
State the hypotheses and identify the claim with the correct hypothesis.
This hypothesis test is a ▼(Choose one) test. |
|
Find the critical value(s). Round the answer(s) to two decimal places. If there is more than one critical value, separate them with commas.
Critical value(s)=
Compute the test value. Round sample proportions to three decimal places and z -score values to two decimal places.
z=
Make the decision.
|
▼(Choose one) the null hypothesis.
|
|
Summarize the results.
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There ▼(Choose one) enough evidence to support the claim that the proportions are different.
|
|
Find the
90%
confidence interval for the difference of the two proportions. Round the answers to three decimal places.
|
<p1-p2<
|
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