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Example of a One-Tailed Test

To illustrate a one-tailed test, consider a scenario with 2424 degrees of freedom where the researcher sets the alpha level at .05.05. Depending on their pre-registered directional hypothesis, the researcher uses only a single critical value: either 1.711-1.711 if predicting a lower sample mean, or 1.7111.711 if predicting a higher sample mean (represented by green vertical lines in the accompanying distribution). By redefining 'extreme' to refer to only one tail of the distribution, the critical value becomes less severe, making it easier to reject the null hypothesis if the result falls in the expected direction. However, if the sample mean differs in the unexpected direction, the null hypothesis cannot be rejected at all, regardless of the effect size.

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Updated 2026-05-04

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Research Methods in Psychology - 4th American Edition @ KPU