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 | 40 | 95 |
B | 32 | 74 |
The expected observations for this table would be
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.
observed
Category |
Population |
Population |
Totals |
|
A |
40 |
95 |
135 |
|
B |
32 |
74 |
106 |
|
totals |
72 |
169 |
241 |
expected
Category |
Population |
Population |
Totals |
|
A |
= 40.33 |
=94.67 |
135 |
|
B |
=31.67 |
=74.33 |
106 |
|
totals |
72 |
169 |
241 |
the formula for a Chi-Square statistic is
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