2. A researcher wants to investigate if people belonging to different income groups are homogeneous in their attitude regarding playing the lottery. A sample of 600 people from the low-income group, another sample of 500 people from the middle-income group, and a third sample of 400 people from the high-income group. The result of the survey is recorded in the table below. Income Group Attitude Low Middle Pay often 170 160 Play sometimes 290 220 Never play 140 120 High 90 120 190 Using a significance level of α = 0.05, can you reject the null hypothesis that the percentages of people who play the lottery often, sometimes, and never are the same for each income group?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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2. A researcher wants to investigate if people belonging to different income groups are
homogeneous in their attitude regarding playing the lottery. A sample of 600 people from the
low-income group, another sample of 500 people from the middle-income group, and a third
sample of 400 people from the high-income group. The result of the survey is recorded in the
table below.
Income Group
Attitude
Low
Middle
Pay often
170
160
Play sometimes
290
220
Never play
140
120
High
90
120
190
Using a significance level of α = 0.05, can you reject the null hypothesis that the percentages
of people who play the lottery often, sometimes, and never are the same for each income
group?
Transcribed Image Text:2. A researcher wants to investigate if people belonging to different income groups are homogeneous in their attitude regarding playing the lottery. A sample of 600 people from the low-income group, another sample of 500 people from the middle-income group, and a third sample of 400 people from the high-income group. The result of the survey is recorded in the table below. Income Group Attitude Low Middle Pay often 170 160 Play sometimes 290 220 Never play 140 120 High 90 120 190 Using a significance level of α = 0.05, can you reject the null hypothesis that the percentages of people who play the lottery often, sometimes, and never are the same for each income group?
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