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Null and Alternative Hypotheses for the Dependent-Samples t-Test

The null hypothesis for a dependent-samples tt-test states that the means at the two times or under the two conditions are identical in the population. When evaluated using difference scores, this hypothesis assumes that the mean difference score in the population is 00 (μ0=0\mu_0 = 0). Conversely, the alternative hypothesis asserts that the means are not the same, meaning the population mean difference score is not 00 (μ0eq0\mu_0 eq 0). Researchers may also use a one-tailed test if they theoretically expect the difference to occur in a specific direction.

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Updated 2026-05-03

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Research Methods in Psychology - 4th American Edition @ KPU