Question

A clean air standard requires that vehicle exhaust emissions not exceed specified limits for various pollutants. Many states require that cars be tested annually to be sure they meet these standards. Suppose state regulators double-check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop's license if they find significant evidence that the shop is certifying vehicles that do not meet standards.
a. In this context, what is a Type I error?
b. In this context, what is a Type II error?
c. Which type of error would the shop's owner consider more serious? d. Which type of error might environmentalists consider more serious?

Answer 1

Answer:

Step-by-step explanation:

The null hypothesis in this case is: There is significant evidence that the shop is certifying vehicles that do not meet standards so their license gets revoked

a. A type I error in this context occurs if the null is rejected when in actuality, it is true. This means, the shop is certifying vehicles that do not meet standards but their license does not get revoked

b. A type II error in this context occurs if they fail to reject the null when in actuality, it is no true. This means, the shop is not certifying vehicles that do not meet standards but their license does get revoked.

c. Which type of error would the shop's owner consider more serious?

The type II error because it affects the shop owner despite their credibiity

d. Which type of error might environmentalists consider more serious?

The type I error.