Description: The rejection region is a fundamental concept in inferential statistics that refers to the set of all values of the test statistic that would lead to the rejection of the null hypothesis. In the context of hypothesis testing, the null hypothesis is a statement that is tested and generally represents a position of no effect or no difference. The rejection region is defined based on the significance level, which is the probability of incorrectly rejecting the null hypothesis when it is true. This region is determined from the sampling distribution of the test statistic under the null hypothesis. If the calculated value of the test statistic falls within this region, it is considered that there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. Identifying the rejection region is crucial for decision-making in statistical research, as it allows researchers to assess the validity of their hypotheses and make inferences about the population from samples. In summary, the rejection region is an essential component in the hypothesis testing process, providing a framework for evaluating statistical evidence.
