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