Question

In: Statistics and Probability

Suppose you are performing a test of independence for 2 categorical variables with alpha=0.05. The row...

Suppose you are performing a test of independence for 2 categorical variables with alpha=0.05. The row variable has 4 categories and the column variable has 5 categories. What is the critical value?

Solutions

Expert Solution

Solution:

Given:

R = Number of rows = 4

C = Number of columns = 5

Level of significance =

We have to find the critical value to perform  a test of independence for 2 categorical variables.

df = (R-1) X (C -1)

df = ( 4-1) X ( 5-1)

df = 3 X 4

df = 12

Look in Chi-square table for df = 12 and right tail area = 0.05

and find corresponding chi-square critical value.

Chi-square critical value = 21.026


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