Problem

For a goodness-of-fit test for a distribution with 5 categories, what are the degrees of freedom for the $\chi^{2}$ distribution for this test?
degrees of freedom =
x

Answer

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Answer

Final Answer: The degrees of freedom for the \(\chi^{2}\) distribution for this test is \(\boxed{4}\).

Steps

Step 1 :The degrees of freedom for a goodness-of-fit test is calculated as the number of categories minus 1.

Step 2 :In this case, we have 5 categories.

Step 3 :So, the degrees of freedom would be 5 - 1 = 4.

Step 4 :Final Answer: The degrees of freedom for the \(\chi^{2}\) distribution for this test is \(\boxed{4}\).

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