You are conducting a test of homogeneity for the claim that

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.


The expected observations for this table would be


What is the chi-square test-statistic for this data?
2=

Category Population
#1
Population
#2
A 12 103
B 51 77

Solution

Doing an Expected Value Chart, as

Expected value = (row total)*(column total)/grand total

Then          
          
29.81481481   85.18518519
33.18518519   94.81481481 [ANSWER]

*********************
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    27.28101854 [ANSWER]      

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 th

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