Discuss critical region/s. Explain one-tail and two -tail tests.

Critical Region:

In hypothesis testing, the critical region, also known as the rejection region, is a range of values or outcomes of a test statistic that leads to the rejection of the null hypothesis. It is determined based on the chosen level of significance (alpha, α) and the distribution of the test statistic under the null hypothesis. The critical region represents extreme values that are unlikely to occur if the null hypothesis is true. If the calculated test statistic falls within the critical region, the null hypothesis is rejected in favor of the alternative hypothesis.

One-Tail and Two-Tail Tests:

One-Tail Test: A one-tail test, also called a one-sided test, is used when the research hypothesis specifies a direction of effect. In other words, it tests whether a population parameter is significantly greater than or significantly less than a specific value. The critical region is established on only ___ ___ ________ ____ ___ ___ __________ _____.
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