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you intend to conduct a goodness - of - fit test for a multinomial dist…

Question

you intend to conduct a goodness - of - fit test for a multinomial distribution with 8 categories. you collect data from 89 subjects.
what are the degrees of freedom for the \\( \chi ^ { 2 } \\) distribution for this test?
d.f. =
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Explanation:

Step1: Recall degrees of freedom formula for goodness-of-fit test

Degrees of freedom = number of categories - 1

Step2: Substitute the number of categories

Number of categories = 8
d.f. = 8 - 1 = 7

Answer:

7