Perform a chi-square homogeneity test. An independent simple random sample of residents in three regions gave the data on race shown in the table. At the 1% significance level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the three regions? White Black Other Total East Midwest West Total 98 16 6 120 122 18 10 150 114 12 13 139 334 46 29 409 ..... What are the null and alternative hypotheses? O A. Ho: The racial distribution is not the same in each of the three regions. Ha: The racial distribution is the same in each of the three regions. O B. Ho: The racial distribution is the same in each of the three regions. Ha: The racial distribution is not the same in each of the three regions. OC. Ho: The racial distribution is the same in at least two of the three regions. Ha: The racial distribution is not the same in at least two of the three regions. O D. Ho: The racial distribution is not the same in at least two of the three regions. Ha: The racial distribution is the same in at least two of the three regions. Find the test statistic. x = (Round to three decimal places as needed.) Find the P-value. P = (Round to four decimal places as needed.) Choose the correct conclusion below. O A. Reject Ho- The data do not provide sufficient evidence that there is a difference. O B. Do not reject Ho. The data do not provide sufficient evidence that there is a difference. OC. Do not reject Ho. The data provide sufficient evidence that there is a difference. O D. Reject Ho. The data provide sufficient evidence that there is a difference. O E. At least one assumption is violated. Therefore, the test cannot be conducted.

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