Consider the accompanying 2 3 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 first category of both factors).
..................1.............2...........3
1................ .13.......... .19 ....... .28
2................ .07........... .11 ...... .22
a. Suppose the sample consisted of n = 100 people. Use the chi-squared test for independence with significance 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?