Discuss the following problems:
Q1: 66% of students at a university live on campus. A random sample found that 20 of 40 male students and 40 of 50 of female students lived on campus. At the .05 level of significance, 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?
A)No, there is not sufficient information to reject the hypothesis that the proportion of male students who live on campus and the proportion of female students who live on campus are the same because the test value -1.65 is inside the acceptance region (-1.96,1.96).
B)Yes, there is sufficient information to reject the hypothesis that the proportion of male students who live on campus and the proportion of female students who live on campus are the same because the test value -3.15 is outside the acceptance region (-1.96,1.96).
C)Yes, there is sufficient information to reject the hypothesis that the proportion of male students who live on campus and the proportion of female students who live on campus are the same because the test value -3.00 is outside the acceptance region (-1.96,1.96).
D)No, there is not sufficient information to reject the hypothesis that the proportion of male students who live on campus and the proportion of female students who live on campus are the same because the test value -0.30 is inside the acceptance region (-1.96,1.96).
Q2: For the samples summarized below, test the hypothesis at =.05 that the two variances are equal.
Variance Number of data values
Sample 1 30 9
Sample 2 10 19
A)Reject the hypothesis because the test value 9.00 is greater than the critical value 2.51.
B)Do not reject the hypothesis because the test value 9.00 is greater than the critical value 3.01.
C)Do not reject the hypothesis because the test value 3.00 is less than the critical value 3.01.
D)Reject the hypothesis because the test value 3.00 is greater than the critical value 2.