Test the following hypotheses for a multinomial probability distribution by using the X2 goodness of fit test. Hy: pg =0.40, pp = 0.20, and pc = 0.40 H, : The probabilities are not pa =040, pp =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 Hy. a. Use the p-value approach. Use Table 3 of Appendix B. x2 = (to 2 decimals) The p-value is | - Select your answer - vl Conclusion: - Select your answer - v b. Repeat the test using the critical value approach. x,m = (to 3 decimals) x: = (to 2 decimals) Conclusion: - Select your answer - v]