A local university wishes to determine if there is a gender difference for students who live on campus? Two random samples are collected. The first found that 25 of 45 male students lived on campus and the second found that 39 of 50 of female students lived on campus. Using a significance level of 0.01, is there sufficient evidence to conclude that a difference exists between the proportion of male students who live on campus and the proportion of female students who live on campus?

What are the appropriate hypotheses for this problem?