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