You conduct a hypothesis test for the mean of a population (H0: mean = 5) at the

Question

You conduct a hypothesis test for the mean of a population (H0: mean = 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. .73; .05; .27

B. .27; .73; .05

C. .05; .73; .27

D. .05; 27 ; .73

E. .27; .05; .73

Explanation / Answer

P(Type-I error)=0.05

P(Type-II) =1-0.73 as probability of getting a sample mean greater than 7 is .73 and this is the rejection rule so probabaility of sample man <7 is 1-0.73=0.27

So, power=0.73

Option-D

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