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In a hypothesis test using the T-Distribution, the null hypothesis is rejected if the calculated test statistic falls in which region(s)?

Question

In a hypothesis test using the T-Distribution, the null hypothesis is rejected if the calculated test statistic falls in which region(s)?

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Solution

In a hypothesis test using the T-Distribution, the null hypothesis is rejected if the calculated test statistic falls in the critical region(s). These regions are typically at the two ends of the distribution, representing extreme values. The exact location and size of these regions depend on the significance level (alpha) chosen for the test. If the test is one-tailed, there will be one critical region, and if the test is two-tailed, there will be two critical regions. If the calculated test statistic falls within these critical regions, it means that the observed data is significantly different from what would be expected under the null hypothesis, and thus the null hypothesis is rejected.

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