Test the following hypotheses for a multinomial probability distribution by using the X2 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, 120 in category B, and 50 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 = (to 2 decimals) The p-value is -Select your answer- Conclusion: - Select your answer- b. Repeat the test using the critical value approach. X0.01 === = (to 3 decimals) (to 2 decimals) Conclusion: Select your answer-