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 = 0.1 level of significance. Category 1 Category 2 Category 3 Failures 79 61 65 Successes 40 41 82 State the hypotheses. Choose the correct answer below. O A. Ho: The categories of the variable and success and failure are dependent. H, : The categories of the variable and success and failure are independent. O B. Ho P1 = P2 = P3 H, : At least one of the proportions is different from the others. O C. Ho H1 = E, and H2 = E2 and H3 = E3 H, : At least one mean is different from what is expected. O D. Ho: The categories of the variable and success and failure are independent. H1: The categories of the variable and success and failure are dependent