Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 1. The professor of a large survey class is instructed to give final grades in the proportions: A-10%, B-20%, C-40%, D-20%, F-10%. One semester, she gives 22 As, 27 Bs, 49 Cs, 35 Ds, and 17 Fs in a class of 150. (a) Is there statistical evidence that the professor is not giving a distribution of grades consistent with the instructions? Assume all conditions for inference have been met.