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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. "Yes" was the response given by 26% of the men and 23% of the women. Based on this survey, can we conclude that there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance? (Use Men − Women.) (a) Find z. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) (b) State the appropriate conclusion. Fail to reject the null hypothesis. There is significant evidence that the proportions differ.Fail to reject the null hypothesis. There is not significant evidence that the proportions differ. Reject the null hypothesis. There is significant evidence that the proportions differ.Reject the null hypothesis. There is not significant evidence that the proportions differ.

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. "Yes" was the response given by 26% of the men and 23% of the women. Based on this survey, can we conclude that there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance? (Use Men − Women.) (a) Find z. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) (b) State the appropriate conclusion. Fail to reject the null hypothesis. There is significant evidence that the proportions differ.Fail to reject the null hypothesis. There is not significant evidence that the proportions differ. Reject the null hypothesis. There is significant evidence that the proportions differ.Reject the null hypothesis. There is not significant evidence that the proportions differ.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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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. "Yes" was the response given by 26% of the men and 23% of the women. Based on this survey, can we conclude that there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance? (Use Men − Women.)

(a) Find z. (Round your answer to two decimal places.)


Find the p-value. (Round your answer to four decimal places.)


(b) State the appropriate conclusion.
Fail to reject the null hypothesis. There is significant evidence that the proportions differ.Fail to reject the null hypothesis. There is not significant evidence that the proportions differ.    Reject the null hypothesis. There is significant evidence that the proportions differ.Reject the null hypothesis. There is not significant evidence that the proportions differ.
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