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Using the data shown in the accompanying contingency table, test whether the population proportions differ at the a = 0.01 level of significance by determining
Using the data shown in the accompanying contingency table, test whether the population proportions differ at the a = 0.01 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples are dependent and were obtained randomly. Click here to view the contingency table. Click here to view the table of critical values of the chi-square distribution. (a) Let p, represent the proportion of success for treatment A and p2 represent the proportion of success for treatment B. What are the null and alternative hypotheses? O A. Ho: P1 = P2 O B. Ho: P1 = P2 Hy: P1 = P2 Hy : P 1 > P2 O C. Ho: P1 = P2 OD. Ho: P1 # P2 Hy : P1 # P2 Hy : P1 = P2 (b) The test statistic is xo = . (Round to two decimal places as needed.) (c) The critical value is Xu = (Round to two decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Do not reject the null hypothesis. There is not sufficient evidence to conclude that p, > P2. O B. Do not reject the null hypothesis. There is not sufficient evidence to conclude that p, # P2. O C. Reject the null hypothesis. There is sufficient evidence to conclude that p, # P2. O D. Reject the null hypothesis. There is sufficient evidence to conclude that p,
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