Exercise 12.01 (Goodness of Fit Test) Question 2 of 10 Hint(s) Check My Work Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test. Ho : PA = 0.40 , PB = 0.40, and pc = 0.20 He : The probabilities are not PA = 0.40 , PB = 0.40 , and pc = 0.20 A sample of size 200 yielded 60 in category A, 120 in category B, and 20 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. x2 = (to 2 decimals) The p-value is less than 0.005 Conclusion: Conclude the proportions differ from 0.4, 0.4, and 0.2. b. Repeat the test using the critical value approach. Xo.01 = (to 3 decimals) X? = X (to 2 decimals) Conclusion: Conclude the proportions differ from 0.4, 0.4, and 0.2. v