State Regulators are checking up on repair shops to see if they certifying vehicles that do not meet pollution standards.

a. In this context, what is meant by the power of the test the regulators are conducting?
b. Will the power be greater if they test 15 or 25 cars? Why?
c. Will the power be greater if they use a 0.1% or a 5% level of significance? Why?
d. Will the power be greater if the repair shop's inspectors are only a little out of compliance or a lot? Why?

a) Choose the correct answer below.

i. The power of the test is the probability of detecting that the shop is meeting standards when it is.
ii. The power of the test is the probability of detecting that the shop is not meeting standards when it is not.
iii. The power of the tees is the probability of detecting that the shop is not meeting standards when it is.
iv. The power of the test is the probability of detecting that the shop is meeting standards when it is not.