Question

If the p-value for a Chi-square test for independence is 0.004, the corresponding one-sided (or directional) p-value is always half of 0.004.

True or False

Answer 1

Solution:

Given statement: If the p-value for a Chi-square test for independence is 0.004, the corresponding one-sided (or directional) p-value is always half of 0.004.

For a Chi-square test for independence, we always have one sided test, that is right tailed test. Thus p-value obtained for a Chi-square test for independence is always for right tailed test.

Thus for a one sided or right tailed, corresponding p-value for a Chi-square test for independence is 0.004. Not the half of 0.004.

Thus given statement is FALSE.