State the null and alternate hypotheses

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
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State the null and alternate hypotheses
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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 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 0.05 level of significance and the critical value method with the table.
Category 1-7 8-14 15-21 22-28 29-35
Observed 33 22 35
31 26
Send data to Excel
Part 1 of 7
Compute the expected frequencies.
Category
1-7 8-14 15-21 22-28 29-35
Expected frequency 29.4 29.4 29.4 29.4 29.4
Part 2 of 7
Compute the value of 2. Round the answer to at least three decimal places.
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Transcribed Image Text:esc 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 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 0.05 level of significance and the critical value method with the table. Category 1-7 8-14 15-21 22-28 29-35 Observed 33 22 35 31 26 Send data to Excel Part 1 of 7 Compute the expected frequencies. Category 1-7 8-14 15-21 22-28 29-35 Expected frequency 29.4 29.4 29.4 29.4 29.4 Part 2 of 7 Compute the value of 2. Round the answer to at least three decimal places. Skip Part FI Check F2 O ㅁㅁ F3 AUG 11 DOD DOO F4 F5 K MacBook Air F6 Save For Later Submit Assignment Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility (Q F7 ► 11 F8 tv A F9 F10 S M
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