You conduct a hypothesis test for the mean of a population (H0 : p = 5) at the. 05 significance level.

You establish a decision rule that you will reject this hypothesis if you get a sample mean greater than 7.

If, in reality, the population mean is 6, the probability of getting a sample mean greater than 7 is. 73.

Which of the following give you the probability of a Type I error, the probability of a Type II error, and the power of the test, respectively?

a ...05;.73;.27

b ...27;.73;.05

c ...73;.05;.27

d ...27;.05;.73

e ...05;.27;.73

The correct option is a)

05;.73;.27, type 1 error, type 11 error and the power of the test respectively.

Step-by-step explanation:

Alpha is the probability of a type 1 error, given the null hypothesis is true. Therefore alpha = 0.05

Type 11 error is the probability of accepting a false null hypothesis.

Beta = 0.73

The Power of a test is the probability of rejecting the null hypothesis, given it is false

Power = 1 - beta

Power = 1-0.73

Power = 0.27

Therefore the type 1 error is 0.05

The type 11 error is = 0.73

The power of the test = 0.27

The right option is a)