Based on past experience, the grade distribution for student's taking a math class has been 20% A's, 25% B's, 30% C's, 15% D's, and 10% F's. We would like to test if this year's class matches the performance of prior classes. The data shown below gives the number of student's receiving each letter grade from this year's class of 92 students. You wish to test the claim that this year's class has a different grading distribution from prior classes at a significance level of =0.02. Follow the steps below to conduct the goodness-of-fit procedure. 1) Setup competing hypotheses (no answers for this part)

H0: This year's class has the same grading distribution as prior classes

Ha: This year's class has a different grading distribution from prior classes

2a) Calculate the expected distribution along with the residuals (report your answers to 4 decimal places)

Grade	Observed	Expected Relative Frequencies	Expected	Residuals
A	17
B	36
C	18
D	9
F	12

2b) Calculate the test statistic (report your answer to 3 decimal places) 2 = 2c) Calculate the p-value (report your answer to 4 decimal places) p-value = 3) Make a decision