In a survey of working parents (both parents working), one of the questions asked was "have you refused a job, promotion, or transfer because it would mean less time with your family?" 300 men and 300 women were asked this question. 32% of the men and 25% of the women responded "yes". Based on this survey, can it be concluded that there is a difference in the proportion of mem p1 and women p2 responding "yes"? Use a significance level of a = 0.02 for the test

1.

State the null and alternative hypohtheses for the test

H0: p1 p2

Ha: p1 p2

2.

compute the weighted estimate of p,p (3 decimal places)

3.

compute the value of the test statistic. (2 decimal places)

4.

determine the decision rule for rejecting the null hyphthesis H0. (2 decimal places)

reject ho if (z or /z/) (< or >) ____

5.

make the decision for the hyphthesis test (reject/fail)