11. Test the following hypotheses by using the x2 goodness of fit test. Ho PA 40, Pa.40, and pc = .20 H: The population proportions are not PA 40, Pa .40, and pc = .20 A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use a = .01 and test to see whether the proportions are as stated in Ho.

a. Use the p-value approach.

b. Repeat the test using the critical value approach.