Question

if a hypothesis is tested at the α = 0.05 level of significance, what is the probability of making a type i error?
choose the correct answer below
a. the probability of making a type i error is 0.05
b. the probability of making a type i error is 0.5
c. the probability of making a type i error is 0.95
d. there is insufficient information to determine the probability of a type i error

Explanation:

In hypothesis testing, the significance level $\alpha$ is defined as the probability of making a Type I error. A Type I error occurs when we reject the null hypothesis $H_0$ when it is actually true. Here, the significance level is given as $\alpha = 0.05$.

Answer:

A. The probability of making a type I error is 0.05