You are conducting a test of homogeneity for the claim that two different popula

Question

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. Use a .05 significance level.

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

What are the degrees of freedom for this test?
d.f.=

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

The p-value is...

less than (or equal to)

greater than

Category Population
#1 Population
#2 A 8 26 B 69 163

Explanation / Answer

The X^2 test statistic is summation (Observed-Expected)^2/Expected

=(8-9.84)^2/9.84+...+(163-164.84)^2/164.84=0.556

df=(r-1)*(c-1)=(2-1)*(2-1)=1

p value is 0.456

p value is greater than alpha. Fail to reject null hypothesis.

Category Population 1(Observed) Expected Population 2 Expected A 8 9.84[(34*77)/266] 26 24.16 B 69 67.16[(232*77)/266] 163 164.84

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