Question: The table below shows the grade distribution in three sections of Introduction to Statistics at Columbia College. The dean claims that student’s grades in the course are independent of the section in which they were enrolled.

a. Write down the null and alternative Hypothesis associated with the claim

b. Assuming a significance level of 0.05, write down the critical value(s) associated with the hypothesis of this claim.

c. If you calculated the test statistics for the claim as Chi-square = 4.72, is there a real

association between the grade and the course section or is it a random occurrence? (Show your work) to demonstrate why you Reject the Dean’s claim or Do not Reject the Dean’s

claim.