Is the lottery fair? Power ball 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 Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 147 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 0.010 level of significance and the P-value method with the TI-84 Plus calculator. 15-21 22-28 29-35 35 Category 1-7 8-14 Observed 25 30 34 23 Send data to Excel

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Does it reject the null hypothesis (Ho)
Is the lottery fair? Power ball 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 Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 147 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 ikely. Use the 0.010 level of significance and the P-value method with the TI-84
Plus calculator.
Category
1-7
8-14 15-21 22-28 29-35
Observed
25
30
23
35
Send data to Excel
Transcribed Image Text:Is the lottery fair? Power ball 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 Power ball was drawn from a collection of 35 balls numbered 1 through 35. A total of 147 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 ikely. Use the 0.010 level of significance and the P-value method with the TI-84 Plus calculator. Category 1-7 8-14 15-21 22-28 29-35 Observed 25 30 23 35 Send data to Excel
(b) Find the P-value. Round the answer to four decimal places.
The P-value is
Transcribed Image Text:(b) Find the P-value. Round the answer to four decimal places. The P-value is
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