Answer to Question #92344 in Statistics and Probability for DAYANG NORFITRI

Question

In one of the hypothesis study, Robin considers increasing the alpha level. Briefly explain the effect on the Type I and Type II errors together with the probability whether he should reject the null hypothesis.

Answer 1

Type I error is the error of rejecting a null hypothesis when it is actually true. Alpha is the probability of making Type I error.So, if alpha increases, the probability of the Type I error increases.

Type II error is the error of not rejecting a null hypothesis when the alternative hypothesis is the true. So, if alpha increases, the probability of the Type II error decreases.

If alpha increases, the probability that the P-value will lie in the critical region increases. So, the probability of rejecting the null hypothesis increases.