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Chi Square Statistic Test

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A social scientist sampled 140 people and classified them according to income level and whether or not they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the .05 significance level

Income
Low Middle High Total
Played 46 28 21 95
Did not 14 12 19 45
Total 60 40 40 140

Income
Low Middle High Total
Played
46
28
21
95

Did not play
14
12
19
45

Total
60
40
40
140

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Solution Preview

A social scientist sampled 140 people and classified them according to income level and whether or not they played a state lottery in the last month. The sample information is reported below. Is it reasonable to conclude that playing the lottery is related to income level? Use the .05 significance level

Income
Low Middle High Total
Played 46 28 21 95
Did not 14 12 19 45
Total 60 40 40 140

I will use SAS to conduct the analysis of variance! Your data will be
Income
Low Middle High
Played 46 28 21
Did not 14 12 19
The SAS System 17:17 Friday, February 6, 2009 2

The GLM ...

Solution Summary

This solution shows step-by-step calculations on a chi-square test conducted on the data of income level and state lottery participation. It compares the chi-square statistic to the p-value and makes a decision to accept or reject the null hypothesis.

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