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 149 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 26 40 28 34 21 Send data to Excel Part: 0/7 Part 1 of 7 Compute the expected frequencies. Category Expected frequency Skip Part Check 1-7 8-14 15-21 22-28 29-35 X 0 Save For Later do B Submit Assignment Uro Privacy Center Accessibility

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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Compute expected frequencies
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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 149 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 26 40 28 34 21
Send data to Excel
Part: 0/7
Part 1 of 7
Compute the expected frequencies.
Category
Expected frequency
Skip Part
F1
B-
Check
-0²
F2
1-7 8-14 15-21 22-28 29-35
20
F3
AUG
11
DOO
DOO
F4
9/
X
F5
$
MacBook Air
F6
&
F7
► 11
*
FB
Submit Assignment
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B
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Save For Later
F9
C
Espe
F10
←
E
4
V
do
5
Transcribed Image Text:sc 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 149 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 26 40 28 34 21 Send data to Excel Part: 0/7 Part 1 of 7 Compute the expected frequencies. Category Expected frequency Skip Part F1 B- Check -0² F2 1-7 8-14 15-21 22-28 29-35 20 F3 AUG 11 DOO DOO F4 9/ X F5 $ MacBook Air F6 & F7 ► 11 * FB Submit Assignment Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility B tv Save For Later F9 C Espe F10 ← E 4 V do 5
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