Test the following hypotheses by using the x goodness of fit test. Ho: PA = 0.40,...
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Test the following hypotheses by using the x² goodness of fit test. Ho: PA = 0.40, PB = 0.40, and Pc = 0.20 H₂: The population proportions are not PA = 0.40, PB = 0.40, and Pc = 0.20. A sample of size 200 yielded 140 in category A, 40 in category B, and 20 in category C. Use α = 0.01 and test to see whether the proportions are as stated in Ho. (a) Use the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the proportions differ from 0.40, 0.40, and 0.20. O Reject Ho. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail. Round your answers to three decimal places.) test statistic < test statistic > State your conclusion. O Reject Ho. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. O Reject Ho. We conclude that the proportions differ from 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. Test the following hypotheses by using the x² goodness of fit test. Ho: PA = 0.40, PB = 0.40, and Pc = 0.20 H₂: The population proportions are not PA = 0.40, PB = 0.40, and Pc = 0.20. A sample of size 200 yielded 140 in category A, 40 in category B, and 20 in category C. Use α = 0.01 and test to see whether the proportions are as stated in Ho. (a) Use the p-value approach. Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the proportions differ from 0.40, 0.40, and 0.20. O Reject Ho. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20. (b) Repeat the test using the critical value approach. Find the value of the test statistic. State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail. Round your answers to three decimal places.) test statistic < test statistic > State your conclusion. O Reject Ho. We conclude that the proportions are equal to 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions differ from 0.40, 0.40, and 0.20. O Reject Ho. We conclude that the proportions differ from 0.40, 0.40, and 0.20. O Do not reject Ho. We cannot conclude that the proportions are equal to 0.40, 0.40, and 0.20.
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Related Book For
Statistics For Business And Economics
ISBN: 9780538481649
11th Edition
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
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