Suppose that in a certain population of used cars, 5% have bad brakes. Consider the null hypothesis that a car's brakes are fine. Suppose a given mechanic has a 5% chance of committing a type I error and a 5% chance of committing a type II error in inspecting the brakes of used cars. Consider selecting a car at random from the population and asking the mechanic to inspect the brakes. The conditional chance that the car's brakes are bad given that the mechanic says they are bad is closest to

a) 90%.

b) 70%.

c) 50%.

d) 30%.

e) 10%.

This is from a review final that does not have solutions. Can you help explain it to me?

The answer is C) if that helps.