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 = 0.01 level of significance. Category 1 Category 2 Category 3 O Failures 58 70 33 Successes 59 46 72 E Click the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. A. Ho: P1 = P2 = P3 H1: At least one of the proportions is different from the others. B. Ho: The categories of the variable and success and failure are independent. H,: The categories of the variable and success and failure are dependent. C. Ho: The categories of the variable and success and failure are dependent. H1: The categories of the variable and success and failure are independent. D. Ho: H1 = E, and µ2 = E2 and H3 = E3 H1: At least one mean is different from what is expected. Compute the value of the chi-square test statistic. Xổ =(Round to three decimal places as needed.)

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