Question

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 34% of the men and 25% 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.) Incorrect: Your answer is incorrect.

(ii) Find the p-value. (Give your answer correct to four decimal places.)

Answer 1

a) H0:  there is not difference in the proportion of men and women responding "yes" at the 0.05 level of significance

H1:  there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance

Critical z: ±1.9600

Here Z value is not Z critical value so we reject H0

Thus we conclude that  there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance

b)

P-Value: 0.0484

Here P-value < alpha 0.05 so we reject H0

Thus we conclude that  there is a difference in the proportion of men and women responding "yes" at the 0.05 level of significance