We want to test whether or not more students are absent on Friday afternoon classes than on Wednesday afternoon classes. In a random sample of 300 students with Friday afternoon classes, 61 missed the class. In a different random sample of 300 students with Wednesday afternoon classes, 23 missed the class. The table below summarizes this information. The standard error (SE) is given to save calculation time if you are not using software.

Class Daytotal # of absences ()total # of students ()proportion
Friday613000.203333333333333
Wednesday233000.0766666666666667
Standard Error: SE = 0.0283313724811677

Test the claim that the absentee rate on all Friday afternoon classes is greater than the absentee rate on all Wednesday afternoon classes. Test this claim at the 0.05 significance level.

(a) Find the test statistic.

(b) Find the critical value.

(c) Find the -value.

(d) Is there sufficient data to support the claim?

Can you support the claim at the 0.01 significance level?

(e) Find the critical value.

(f) Is there sufficient data to support the claim?

You can earn partial credit on this problem.