the lottery fair? Powerball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing mbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winni a 17 month period, the Powerball was drawn from a collection of 35 balls numbered 1 through 35. A total of 147 drawings v ade. For the purpose of this exercise, we grouped the numbers in to five categories: 1-7, 8-14, and so on. If the lottery is fai en the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis at each of the categories is equally likely. Use the 0.05 level of significance and the critical value method with the table. Category | 1-7 8-14 15-21 22-28 29-35 Observed | 33 22 35 31 26 Send data to Excel Part 1 of 7 V Compute the expected frequencies. Category 1-7 8-14 15-21 22-28 29-35 Expected frequency |29.4 29.4 29.4 29.4 29.4 Part: 1 / 7 Part 2 of 7 Compute the value of %". Round the answer to at least three decimal places