If the Type I error (α)for a given test is to be decreased,then for a fixed sample size n
A) the power of the test will increase.
B) the Type II error (β) will increase.
C) the Type II error (β) will also decrease.
D) a one-tailed test must be utilised.

Question

Quizplus · Accepted Answer

When the Type I error (α) is decreased, it means that the criteria for rejecting the null hypothesis become more stringent. As a result, the likelihood of failing to reject a false null hypothesis (Type II error, β) increases, given that the sample size remains constant. This is because the decrease in α typically leads to a narrower acceptance region, making it harder to detect a true effect.

If the Type I Error (α)For a Given Test Is