Question
A researcher conducted a goodness-of-fit test by using categorical data. Her data consists of 4 categories....
A researcher conducted a goodness-of-fit test by using categorical data. Her data consists of 4 categories. Her null hypothesis states that the data occur in each category with the same frequency. If she found the test statistic χ2=χ2=12.03:
What is the degree of freedom of the χ2χ2 statistic? 3
What is the P-value of the goodness-of-fit test? (Round to 3 decimals)
Homework Answers
Answer #1
A researcher conducted a goodness-of-fit test.
Her data consists of 4 categories.
K=4
null hypothesis :- the data occur in each category with the same frequency.
Chi square statistics = 
= 12.03:
What is the degree of freedom :-
Df = k - 1 = 4 - 1 = 3
What is the P-value of the goodness-of-fit test
Excel command :-
CHIDIST (
, df ) = CHIDIST(12.03, 3 ) = 0.007.
P.value = 0.007 < 0.05 =alpha
This is statistically significant
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