A teacher finds that final grades in the statistics department are distributed as: A, 25%; B, 25%; C, 40%; D, 5%; F, 5%. At the end of a randomly selected semester, the following grades were recorded. Calculate the chi-square test statistic chi squared used to determine if the grade distribution for the department is different than expected. Use alpha equals 0.01 .
Grade A B C D F
Number 42 36 60 8 14
(A) 3.41
(B) 5.25
(C) 6.87
(D) 4.82