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Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Click the icon to view the contingency table. a. Identify the
Consider the following contingency table of observed frequencies. Complete parts a. through d. below. Click the icon to view the contingency table. a. Identify the null and alternative hypotheses for a chi-square test of independence with based on the information in the table. This test will have a significance level of a = 0.025. Choose the correct answer below. O A. Ho: The variables Ry, R2, C1, C2, and Cy are independent. Hy: None of the variables are independent. O B. Ho: The row and column variables are independent of one another. Hy: The row and column variables are not independent of one another. O C. Ho: The row and column variables are not independent of one another. X Hy: The row and column variables are independent of one another. Contingency table O D. Ho: The variables Ry, R2, C1, C2, and C3 are independent. Hy: At least one of the variables is not independent. Column Variable b, Calculate the expected frequencies for each cell in the contingency table. Row Variable C1 43 R1 Co 12 Column Variable R2 12 Row Variable C1 R1 R2 0 0 (Round to two decimal places as needed.) Print Done c. Calculate the chi-square test statistic. x2 = (Round to two decimal places as needed.) d. Determine the p-value. Using o = 0.025, state your conclusions. p-value = (Round to three decimal places as needed.) State your conclusions. The p-value is
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