In comparing the means of two independent samples, if the test statistic indicates a significant difference at α = .05, it will also be significant at α = .10.

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If the test statistic indicates a significant difference at α = .05, it means that the probability of obtaining such a difference by chance is less than 5%. Therefore, if we relax the level of significance to α = .10, the probability of obtaining such a difference by chance increases to 10%, which is a more lenient criterion. Thus, if the difference is already significant at α = .05, it will also be significant at α = .10, because the evidence for a true difference is stronger.

In Comparing the Means of Two Independent Samples, If the Test