In testing of hypothesis corresponding to a particular level of significance among all critical regions, ‘best critical region’ has ans. greatest type II error least type I error greatest type I error least type II error
Question
In testing of hypothesis corresponding to a particular level of significance among all critical regions, ‘best critical region’ has ans. greatest type II error
least type I error
greatest type I error
least type II error
Solution
The 'best critical region' in hypothesis testing corresponding to a particular level of significance among all critical regions has the least type II error.
Here's why:
In hypothesis testing, we have two types of errors: Type I and Type II.
Type I error occurs when we reject a true null hypothesis, and Type II error occurs when we fail to reject a false null hypothesis.
The 'best critical region' is the one that minimizes the probability of making a Type II error, while maintaining a specified level of significance (probability of making a Type I error).
So, the correct answer is "least type II error".
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