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 35% of the men and 30% 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. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimal places.)
(b) State the appropriate conclusion.
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.
Fail to reject the null hypothesis, there is not significant evidence that the proportions differ.
Fail to reject the null hypothesis, there is significant evidence that the proportions differ.