Question

Test the following hypotheses by using the χ 2 goodness of fit test. H 0: p...

Test the following hypotheses by using the χ 2 goodness of fit test.

 H 0: p A = 0.2, p B = 0.4, and p C = 0.4 Ha: The population proportions are not p A = 0.2 , p B = 0.4 , and p C = 0.4
 A sample of size 200 yielded 40 in category A, 120 in category B, and 40 in category C. Use  = .01 and test to see whether the proportions are as stated in H0. Use Table 12.4. a. Use the p-value approach. χ 2 =  (to 2 decimals) The p-value is Select less than .005 between .005 and .01 between .01 and .025 between .025 and .05 between .05 and .10 greater than .10Item 2 Conclusion: Select Conclude the proportions differ from 0.2, 0.4, and 0.4. Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4.Item 3 b. Repeat the test using the critical value approach. χ 2 .01 =  (to 3 decimals) Conclusion: Select Conclude the proportions differ from 0.2, 0.4, and 0.4. Cannot conclude that the proportions differ from 0.2, 0.4, and 0.4.Item 5

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