If a test is carried out at a specified significance level (e.g., $\alpha$ = .05),using a larger sample size will reduce the value of $\beta$ ,the probability of making a Type II error.

Question

Quizplus · Accepted Answer

This is true. As sample size increases, the standard error of the mean decreases, resulting in a larger z-score for the same effect size. This in turn leads to a smaller probability of making a Type II error, which is represented by $\beta$.

If a Test Is Carried Out at a Specified Significance α\alphaα

If a Test Is Carried Out at a Specified Significance $\alpha$