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 Failures Successes 69 26 30 70 55 55 State the hypotheses. Choose the correct answer below. OA. Ho: The categories of the variable and success and failure are independent. H: The categories of the variable and success and failure are dependent. OB. Ho P1 P2 P3 H: At least one of the proportions is different from the others. OC. Ho: The categories of the variable and success and failure are dependent. H: The categories of the variable and success and failure are independent. OD. Ho: H =E and = E2 and 3 = E3 H: At least one mean is different from what is expected. What is the P-value? What is the P-value? (Round to three decimal places as needed.) What conclusion can be made? OA. 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. OB. The P-value is less than a, so reject Ho. There is sufficient evidence that the proportions are different from each other. OC. 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. OD. The P-value is greater than or equal to a, so do not reject Ho. There is sufficient evidence that the catenaries of the variable and success and failure are denendent