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 Observed 37 20 21 Send data to Excel 22-28 29-35 25 39

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
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Part 2 of 4
(b) Find the P-value. Round the answer to four decimal places.
The P-value is
Transcribed Image Text:Part 2 of 4 (b) Find the P-value. Round the answer to four decimal places. The P-value is
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
Observed
37
20
Send data to Excel
15-21 22-28 29-35
21
25
39
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 Observed 37 20 Send data to Excel 15-21 22-28 29-35 21 25 39
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