One problem I tried to get through was understanding how to pick the right hypothesis. This was hard because the words sounded very similar and a bit confusing. I had to read them slowly to see the small differences. In the end, I picked the one that said the proportions are equal because it made the most sense for this question. I tried to add up the failures and successes for each category to get the totals. For Category 1, I added 50 failures and 89 successes to get 139. For Category 2, I added 89 failures and 54 successes to get 143. For Category 3, I added 89 failures and 23 successes to get 112.Next, I added up all the failures and all the successes to find the overall totals. The total number of failures was 50 + 89 + 89 = 228, and the total number of successes was 89 + 54 + 23 = 166. The grand total for everything was 228 + 166 = 394.Then, I tried to figure out the expected numbers for each category by using the formula: (row total column total) divided by the grand total. For example, for Category 1 successes, I did (139 166) 394, which gave me about 58.5. I tried doing this for the other categories too, but it got a little confusing to keep track of all the numbers.

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. Category1 Category2 Category3 Failures 50 89 89 Successes 89 54 23 Ba Click the icon to view the Chi-Square table of critical values. State the hypotheses. Choose the correct answer below. Hg: The categories of the variable and success and failure are dependent. H,: The categories of the variable and success and failure are independent. Ho: Hy =E, and py =E, and ps =E, H,: At least one mean is different from what is expected. YC. Ho: Py = Pp =P3 H, : At least one of the proportions is different from the others. Hp: The categories of the variable and success and failure are independent. H,: The categories of the variable and success and failure are dependent