Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test. Ho : PA = 0.20 , pB = 0.40, and pc = 0.40 Ha : The probabilities are not PA = 0.20 , PB = 0.40 , and pc = 0.40 A sample of size 200 yielded 40 in category A, 120 in category B, and 40 in category C. Use a = 0.01 and test to see whether the probabilities are as stated in Họ. a. Use the p-value approach. Use Table 3 of Appendix B. x² = (to 2 decimals) The p-value is - Select your answer - Conclusion: - Select your answer - b. Repeat the test using the critical value approach. (to 3 decimals) x² = (to 2 decimals) Conclusion: V - Select your answer - Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4. Conclude the proportions differ from 0.2, 0.4, and 0.4.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test.
Но : РА —
:0.20 , PB
0.40, and pc
0.40
Ha : The probabilities are not
РА — 0.20 , рв
0.40 , and pc
= 0.40
A sample of size 200 yielded 40 in category A, 120 in category B, and 40 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
- Select your answer -
Conclusion:
- Select your answer -
b. Repeat the test using the critical value approach.
X6.01
(to 3 decimals)
x²
(to 2 decimals)
Conclusion:
V - Select your answer -
Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4.
Conclude the proportions differ from 0.2, 0.4, and 0.4.
Transcribed Image Text:Test the following hypotheses for a multinomial probability distribution by using the x goodness of fit test. Но : РА — :0.20 , PB 0.40, and pc 0.40 Ha : The probabilities are not РА — 0.20 , рв 0.40 , and pc = 0.40 A sample of size 200 yielded 40 in category A, 120 in category B, and 40 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 - Select your answer - Conclusion: - Select your answer - b. Repeat the test using the critical value approach. X6.01 (to 3 decimals) x² (to 2 decimals) Conclusion: V - Select your answer - Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4. Conclude the proportions differ from 0.2, 0.4, and 0.4.
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