Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test. Test the following hypotheses for a multinomial probability distribution by using the \(\chi^2\) goodness of fit test.\[H_0: \, p_A = 0.40, \, p_B = 0.40, \, \text{and} \, p_C = 0.20\]\[H_a: \, \text{The probabilities are not } p_A = 0.40, \, p_B = 0.40, \, \text{and} \, p_C = 0.20\]A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use \(\alpha = 0.01\) and test to see whether the probabilities are as stated in \(H_0\).a. Use the p-value approach. Use Table 3 of Appendix B.\[\chi^2 = \, \text{(to 2 decimals)}\]The p-value is - Select your answer -.Conclusion: - Select your answer -.b. Repeat the test using the critical value approach.\[\chi^2_{0.01} = \, \text{(to 3 decimals)}\]\[\chi^2 = \, \text{(to 2 decimals)}\]Conclusion: - Select your answer -.

Solution To test the hypothesis we will use chi square test for goodness of fit .

Answered: Test the following hypotheses for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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