Despite company policies allowing unpaid family leave for new fathers, many men fear that exercising this option would be held against them by their superiors

(Minneapolis Star-Tribune, Fcb. 14, 1993). In a random sample of 100 male workers planning to become fatherc.

35 agreed with the statement "If I knew there would be no repercussions, I would choose to participate in the family leave program after the birth of a son or daughter." However, of 96 men who became fathers in the previous 16 months, only nine participated in the program.

a. Specify the appropriate null and alternative hypotheses to test whether the sample data provide sufficient evidence to reject the hypothesis that the proportion of new fathers participating in the program is the same as the proportion that would like to participate. Define any symbols you use.

b. Are the sample sizes large enough to conclude that the sampling distribution of

(a, - a2) is approximately normal?

c. Conduct the hypothesis test using a = .05. Report the observed significance level of the test.

d. What assumptions must be satisfied for the test to be valid'?