33. Consider the accompanying 2  3 table displaying the sample proportions that fell in the various combinations of categories (e.g., 13% of those in the sample were in the rst category of both factors).

a. Suppose the sample consisted of n100 people.
Use the chi-squared test for independence with signi cance level .10.

b. Repeat part

(a) assuming that the sample size was n  1000.

c. What is the smallest sample size n for which these observed proportions would result in rejection of the independence hypothesis?