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In a survey of families in which both parents work, one of the questions asked was: "Have you refused a job, promotion, or transfer because it would mean less time with your family?" A total of 200 men and 200 women were asked this question. 68 men responded "Yes". while 48 women responded "Yes". (a) Construct a 95% confidence interval for the difference of the two proportions in men and women who responded "Yes" to the question. (b) Based on the confidence interval in (a), can we conclude that there is a difference in the proportion of men and women responding "Yes"? Why?

In a survey of families in which both parents work, one of the questions asked was: "Have you refused a job, promotion, or transfer because it would mean less time with your family?" A total of 200 men and 200 women were asked this question. 68 men responded "Yes". while 48 women responded "Yes". (a) Construct a 95% confidence interval for the difference of the two proportions in men and women who responded "Yes" to the question. (b) Based on the confidence interval in (a), can we conclude that there is a difference in the proportion of men and women responding "Yes"? Why?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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3. In a survey of families in which both parents work, one of the questions asked was: "Have you refused a job, promotion, or transfer because it would mean less time with your family?" A total of 200 men and 200 women were asked this question. 68 men responded "Yes". while 48 women responded "Yes". (a) Construct a 95% confidence interval for the difference of the two proportions in men and women who responded "Yes" to the question. (b) Based on the confidence interval in (a), can we conclude that there is a difference in the proportion of men and women responding "Yes"? Why?
Transcribed Image Text:3. In a survey of families in which both parents work, one of the questions asked was: "Have you refused a job, promotion, or transfer because it would mean less time with your family?" A total of 200 men and 200 women were asked this question. 68 men responded "Yes". while 48 women responded "Yes". (a) Construct a 95% confidence interval for the difference of the two proportions in men and women who responded "Yes" to the question. (b) Based on the confidence interval in (a), can we conclude that there is a difference in the proportion of men and women responding "Yes"? Why?
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