Test the following hypotheses for a multinomial probability distribution by using the X 2 goodness of fit test. HO: PA = 0.40, PB = 0.20, and pc = 0.40 : Ha The probabilities are not PA = 0.40, PB = 0.20, and pc = 0.40 A sample of size 200 yielded 30 in category A, 100 in category B, and 70 in category C. Use a = 0.01 and test to see whether the probabilities are as stated in Ho. a. Use the p-value approach. Use Table 3 of Appendix B. x = = The p-value is Conclusion: (to 2 decimals) Select your answer - - Select your answer - b. Repeat the test using the critical value approach. X0.01 x = = (to 3 decimals) (to 2 decimals) Conclusion: - Select your answer -