11.46 The psychology department at a certain college claims that the grades in its introductory course are distributed as follows: 10% As, 20% Bs, 40% Cs, 20% Ds, and 10% Fs. In a poll of 200 randomly selected students who had completed this course, it was found that 16 had received As; 43, Bs; 65, Cs; 48, Ds; and 28, Fs. Does this sample contradict the department’s claim at the 0.05 level?

a. Solve using the p-value approach.

b. Solve using the classical approach.