Question

A clean air standard requires that vehicles 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. From the given choices below, identify the Type I Error and the Type II Error for a hypothesis test.

1.The states require that cars be annually tested for emission standards when in fact, they should not imposed this requirement

2.The state regulators decide to double check a random sample of cars when in fact they should double check the entire population of cars.

3.The state regulators certify the shop when they are not meeting emissions standards.

4.The state regulators decide to double check the entire population of cars when in fact they should double check a random sample of cars.

5.The regulators decide that the repair shop is not meeting emissions standards when they actually are meeting the standards.

Answer 1

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Answer:

Type-I Error

Option 5 - The regulators decide that the repair shop is not meeting emissions standards when they actually are meeting the standards.

Type-II error

Option 3 - The state regulators certify the shop when they are not meeting emissions standards.