Suppose you wish to test the null hypothesisthat three binomial parameters pA, pB, and

Chapter 14, Problem 28

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Suppose you wish to test the null hypothesisthat three binomial parameters pA, pB, and pC are equalversus the alternative hypothesis that at least two ofthe parameters differ. Independent random samples of100 observations were selected from each of the populations.The data are shown in the table.PopulationA B C TotalSuccesses 24 19 33 76Failures 76 81 67 224Total 100 100 100 300a. Write the null and alternative hypotheses for testingthe equality of the three binomial proportions.b. Calculate the test statistic and find the approximatep-value for the test in part a.c. Use the approximate p-value to determine the statisticalsignificance of your results. If the results arestatistically significant, explore the nature of thedifferences in the three binomial proportions

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