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 tim 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 22% 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.) an e (b) State the appropriate conclusion. O Reject the null hypothesis. There is not significant evidence that the proportions differ. O Fail to reject the null hypothesis. There is significant evidence that the proportions differ. O Reject the null hypothesis. There is significant evidence that the proportions differ. O Fail to reject the null hypothesis. There is not significant evidence that the proportions differ.

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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 tim
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 22% 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.)
answer this queson
(b) State the appropriate conclusion.
O Reject the null hypothesis. There is not significant evidence that the proportions differ.
O Fail to reject the null hypothesis. There is significant evidence that the proportions differ.
O Reject the null hypothesis. There is significant evidence that the proportions differ.
O Fail to reject the null hypothesis. There is not significant evidence that the proportions differ.
Transcribed Image Text: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 tim 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 22% 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.) answer this queson (b) State the appropriate conclusion. O Reject the null hypothesis. There is not significant evidence that the proportions differ. O Fail to reject the null hypothesis. There is significant evidence that the proportions differ. O Reject the null hypothesis. There is significant evidence that the proportions differ. O Fail to reject the null hypothesis. There is not significant evidence that the proportions differ.
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