You are conducting a test of homogeneity for the claim that two different popula
ID: 3154828 • Letter: Y
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=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 38 48 B 41 37
Explanation / Answer
Compute expected cell frequency to find X^2 test statistic.
X^2=Summation (Observed-Expected)^2/Expected
=(38-41.43)^2/41.43+...+(37-40.43)^2/40.43
=1.150
df=(r-1)(c-1)=(2-1)(2-1)=1
p value is 0.284.
p value is greater than alpha=0.05. Fail to reject null hypothesis.
Observed value Expected Observed Expected 38 41.43[(86*79)/164] 48 44.47 41 37.57 37 40.43[(78*85)/164]Related Questions
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