State the null and alternate hypotheses
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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