In a survey involving a national random sample of 1600 second semester university seniors (800 men and 800 women), 67% of the women in the survey and 64% of the men said that they had received at least one job offer. Can these survey results be used to make the case that the proportion of female seniors who have at least one job offer is different from the proportion of male seniors who have at least one job offer? Construct a hypothesis test using a significance level of 5%. 

a. Show the competing hypotheses.

b. Calculate the sample statistic, z stat. 

c. Compute the p-value for the sample result and explain what it represents. Use the p-value to make your decision.