For a given sample size in hypothesis testing,
A) the smaller the Type I error, the smaller the Type II error will be.
B) the smaller the Type I error, the larger the Type II error will be.
C) Type II error will not be effected by Type I error.
D) the sum of Type I and Type II errors must equal to 1.

Question

Quizplus · Accepted Answer

Type I error and Type II error have an inverse relationship. This means that if we set a lower threshold for Type I error (rejecting a true null hypothesis), we are more likely to accept a false null hypothesis, which leads to a higher probability of Type II error (failing to reject a false null hypothesis).

For a Given Sample Size in Hypothesis Testing