Question

Suppose you are conducting a test of independence for two categorical variables in a contingency table
(cross-tabulation) consisting of three rows. If the critical value at the 1% level of significance is 23.209.
How many columns were in the contingency table?

Answer 1

Suppose we are conducting a test of independence for two categorical variables in a contingency table.

the critical value at the 1% level of significance is 23.209.

number of rows = 3.

Given, level of significance = 0.01

And

let, number of columns be x

Degrees of freedom = (3-1)(x-1). = 2(x-1)

Hence, degrees of freedom is multiple of 2.

From the table we found that ,

Hence, degrees of freedom = 10. = 2*5

Therefore, x-1 = 5, x = 6.

There are 6 columns.

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