Question

If the sample size is n = 75, what are the degrees of freedom for the appropriate chi-square distribution when testing for independence of two variables each with three categories? a. 4 b. 69 c. 74

Answer 1

Option a) 4

Explanation:

We are given the following information in the question:

Sample size, n = 75

We have to carry a chi distribution test when testing for independence of two variables each with three categories.

Thus, we are given that

Total number of rows for contingency table, r = 3

Total number of columns for contingency table, c = 3

Degree of freedom =

`=(r-1)(c-1)\\=(3-1)(3-1)\\=4`

The degree of freedom is 4.