You choose an alpha level of 01 and then analyze your data a

You choose an alpha level of .01 and then analyze your data.

a. What is the probability that you will make a Type I error given that the null hypothesis is true?

b. What is the probability that you will make a Type I error given that the null hypothesis is false?

Solution

A)

we know that type I error is reject the null hypothesis when null hypothesis is True

Probability of type I error is called level of significance.

Hence P(Type I error) =alpha=0.01 =1%

b) 0.0 or 0% - Type I error is rejecting the null hypothesis when it is true. So if the nullhypothesis is false, you would never falsely reject it (in real life, you do not know if the nullhypothesis is true or not)