Question

Assuming α = 5%, a contingency table consisting of 2 columns and 5 rows would have a critical value of?

Question 4 options:



a)


15.507



b)


11.070



c)


2.132



d)


16.919



e)


9.488

Answer 1

To determine the critical value for a contingency table with 2 columns and 5 rows, assuming α = 5%, we need to refer to the chi-square distribution table.

Step 1: Determine the degrees of freedom (df) for the contingency table.

For a contingency table with 2 columns and 5 rows, the degrees of freedom can be calculated as (columns - 1) * (rows - 1) = (2 - 1) * (5 - 1) = 4.

Step 2: Look up the critical value in the chi-square distribution table with 4 degrees of freedom and a significance level of α = 5%.

Looking up the value in the table, we find that the critical value is approximately 9.488.

Therefore, the answer is option e), 9.488.