Suppose you wish to test the null hypothesis that three binomial parameters pA, pB, and pC are equal versus the alternative hypothesis that at least two of the parameters differ. Independent random samples of 100 observations were selected from each of the populations. The data are shown in the table.

a. Write the null and alternative hypotheses for testing the equality of the three binomial proportions.
b. Calculate the test statistic and find the approximate p-value for the test in part a.
c. Use the approximate p-value to determine the statistical significance of your results. If the results are statistically significant, explore the nature of the differences in the three binomial proportions.

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Population A B C Total Successes 24 9 3376 Failures 7681 67 224 Total 100 100 00 300