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 Ttype II errors must equal to 1

Question

Quizplus · Accepted Answer

Type I and Type II errors have an inverse relationship, meaning if the probability of making a Type I error decreases (i.e., smaller), the probability of making a Type II error will increase (i.e., larger). This is because in hypothesis testing, there is a trade-off between making a Type I error and a Type II error. By decreasing the likelihood of rejecting a true null hypothesis (i.e., smaller Type I error), we increase the likelihood of failing to reject a false null hypothesis (i.e., larger Type II error).

In Hypothesis Testing