E Quiz: Ch 12 Quiz: ChiSquare Procedure Question 3 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Submit quiz The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the a = 0.05 level of significance. Category 1 Category 2 Category 3 Failures 55 75 33 Successes 84 67 Click the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. O A. Ho: The categories of the variable and success and failure are dependent. Hy: The categories of the variable and success and failure are independent. O B. Ho: The categories of the variable and success and failure are independent. Hy: The categories of the variable and success and failure are dependent. O C. Ho: P1 = P2 = P3 Hy: At least one of the proportions is different from the others. O D. Ho: H, = E, and H2 = E2 and H3 = E3 Hy: At least one mean is different from what is expected. Compute the value of the chi-square test statistic. x8 = [Round to three decimal places as needed.) What range of P-values does the test statistic correspond to? The P-value is What conclusion can be made? O A. The P-value is less than a, so do not reject Ho. There is not sufficient evidence that the categories of the variable and success and failure are dependent. O B. The P-value is greater than or equal to a, so do not reject Ho. There is sufficient evidence that the categories of the variable and success and failure are dependent. O C. The P-value is less than a, so reject Ho. There is sufficient evidence that the proportions are different from each other. O D. The P-value is greater than or equal to a, so reject Ho- There is not sufficient evidence that the proportions are different from each other