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 142 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 0.10 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 37 20 21 25 39 Send data to Excel Part: 0 / 4 Part 1 of 4 (a) State the null and alternate hypotheses. Ho P₁ P₂ P3 P4 P5 = H₁: Some or all of the actual probabilities (Choose one) from those specified by Ho

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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 142 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 0.10 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 37
20
21
25
39
Send data to Excel
Part: 0 / 4
Part 1 of 4
(a) State the null and alternate hypotheses.
Ho P1 P2 P3 P4 P5 =
H₁: Some or all of the actual probabilities (Choose one) from those specified by Ho
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 142 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 0.10 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 37 20 21 25 39 Send data to Excel Part: 0 / 4 Part 1 of 4 (a) State the null and alternate hypotheses. Ho P1 P2 P3 P4 P5 = H₁: Some or all of the actual probabilities (Choose one) from those specified by Ho
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