In the context of hypothesis testing, which of the following statements about the power of a test, Type I, and Type II errors are correct?
A) Increasing the power of a test reduces the probability of making a Type I error
B) The power of a test is the probability of making a Type I error
C) The power of a test is the probability of correctly rejecting a false null hypothesis, thereby reducing the probability of a Type II error
D) Reducing the threshold for Type I error will automatically reduce the probability of a Type II error
E) A Type II error occurs when a false null hypothesis is not rejected
1
A,B and C
2
A,B, C,D and E
3
C and E only
4
E only