Is the lottery fair? Powerball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Powerball was drawn from a collection of 35 balls numbered 1 through 35. A total of 149 drawings were made. 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 fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that 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 26 40 28 34 21 Send data to Excel Part: 0 / 7 Part 1 of 7 Compute the expected frequencies. Category 1-7 8-14 15-21 22-28 29-35 O O O O Expected frequency

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Is the lottery fair? Powerball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of
numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's
winnings. In a 17 month period, the Powerball was drawn from a collection of 35 balls numbered 1 through 35. A total of 149
drawings were made. 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 fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the
hypothesis that 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
26
40
28
34
21
Send data to Excel
Part: 0 / 7
Part 1 of 7
Compute the expected frequencies.
Category
1-7 8-14 15-21 22-28 29-35
Expected frequency
Transcribed Image Text:Is the lottery fair? Powerball is a multistate lottery in which players try to guess the numbers that will turn up in a drawing of numbered balls. One of the balls drawn is the "Powerball." Matching the number drawn on the Powerball increases one's winnings. In a 17 month period, the Powerball was drawn from a collection of 35 balls numbered 1 through 35. A total of 149 drawings were made. 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 fair, then the winning number is equally likely to occur in any category. Following are the observed frequencies. Test the hypothesis that 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 26 40 28 34 21 Send data to Excel Part: 0 / 7 Part 1 of 7 Compute the expected frequencies. Category 1-7 8-14 15-21 22-28 29-35 Expected frequency
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