If a test is carried out at a specified significance level (e.g., $\alpha$ = .05),using a larger sample size will change the decision rule but will not change $\alpha$ .This is because $\alpha$ has been decided upon in advance.

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The specified significance level (alpha level) is decided upon in advance and remains the same regardless of the sample size. Increasing the sample size may lead to a smaller standard error and a larger test statistic, which could result in a different critical value and thus a different decision rule. However, the alpha level itself is fixed and not affected by the sample size.

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

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