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 143 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 21 40 24 23 35 State the null hypothesis Compute the P-value Determine whether to reject H0 state the conclusion
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 143 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 21 40 24 23 35 State the null hypothesis Compute the P-value Determine whether to reject H0 state the conclusion
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4CC
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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 143 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 21 40 24 23 35
State the null hypothesis
Compute the P-value
Determine whether to reject H0
state the conclusion
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