A chi-squared test of a contingency table with 4 rows and 5 columns shows that the value of the test statistic is 22.18.Using a chi-squared table,the most accurate statement that can be made is:
A)p-value is greater than 0.05
B)p-value is smaller than 0.025
C)p-value is greater than 0.025 but smaller than 0.05
D)p-value is greater than 0.10

Question

Quizplus · Accepted Answer

To determine the p-value for this chi-squared test, we would need to know the degrees of freedom. This can be calculated as (number of rows - 1) * (number of columns - 1) = 3 * 4 = 12. Looking at a chi-squared table with 12 degrees of freedom, we see that the critical value for alpha = 0.05 is 21.03 and for alpha = 0.025 is 23.34. Since our test statistic (22.18) falls between these two critical values, we can conclude that the p-value is greater than 0.025 but smaller than 0.05. Therefore, the correct answer choice is C.

A Chi-Squared Test of a Contingency Table with 4 Rows