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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