In testing of hypothesis, ‘best critical region maximizes the power of the test’ this statement is
Question
In testing of hypothesis, ‘best critical region maximizes the power of the test’ this statement is
Solution
The statement "In testing of hypothesis, ‘best critical region maximizes the power of the test’" is true.
Here's a step-by-step explanation:
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Hypothesis testing is a statistical method that is used in making statistical decisions using experimental data.
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The critical region of a hypothesis test is the set of all outcomes which cause the null hypothesis to be rejected in favor of the alternative hypothesis.
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The power of a statistical test is the probability that the test will reject the null hypothesis when the alternative hypothesis is true (i.e., the probability of not committing a Type II error, or the probability of a true positive).
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Therefore, the best critical region is the one that maximizes the power of the test. This means that it maximizes the probability of rejecting the null hypothesis when the alternative hypothesis is true, thus minimizing the probability of a Type II error.
So, the statement is indeed true.
Similar Questions
In testing of hypothesis corresponding to a particular level of significance among all critical regions, ‘best critical region’ has
In testing of hypothesis corresponding to a particular level of significance among all critical regions, ‘best critical region’ has ans. least type I error least type II error greatest type I error greatest type II error
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