At large universities, students in statistics courses are often taught by teaching assistants (TAs) and one section is taught by the course supervisor who is a senior professor. The distribution of grades for the hundreds of students taught by TAs last semester was 32% A, 41% B, 20% C, and 7% D/F. The grades assigned by the senior professor to students in his section were 22 As, 38 Bs, 20 Cs, and 11 D/Fs. You plan to do a chi-square goodness of fit test to see if the senior professor’s grades follow a different distribution. What is the P-value of your test?
A. 0.0457 B. 0.1513 C. 0.1826 D. 0.3652