You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data. Category Population #1 Population #2 A 41 74 B 36 69

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data.

Category Population
#1
Population
#2
A 41 74
B 36 69



The expected observations for this table would be

Category Population
#1
Population
#2
A    
B    



The resulting Pearson residuals are:

Category Population
#1
Population
#2
A    
B    


What is the chi-square test-statistic for this data?
χ2=

Report all answers accurate to three decimal places.

Expert Solution
Step 1

We want to find .

chi-square test-statistic.

χ2=(OijEij)^2/Eij

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