Analysis of whether two categorical variables, X = course subject and Y = grade earned by a student was conducted. Researchers selected n = 800 students for their study using m = 4 distinct courses and k = 6 grades, from A to F and W. They evaluated a 2 test statistic for testing independence between X and Y equal to

TS = 29.64

At the significance level = 0.01, do researchers have sufficient evidence that X and Y are dependent?

1. Show critical value (or values) needed for this procedure

2. Formulate the rejection rule

3. State your decision: whether the independence hypothesis should be rejected at the significance level