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Once a $$p$$-value is obtained from a $$t$$-test output, it is compared to the alpha level (typically $$\alpha = .05$$). If the $$p$$-value is less than or equal to $$.05$$, the null hypothesis is rejected, concluding a significant difference exists. If it is greater than $$.05$$, the null hypothesis is retained due to insufficient evidence.

Evaluating $$p$$-Values in a $$t$$-Test

When evaluating the output of a $$t$$-test, what is the appropriate conclusion if the obtained $$p$$-value is less than or equal to the typical alpha level of .05?

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