Question

Many states require cars to be tested for emissions yearly. Suppose state regulators suspect a particular car repair shop has certified cars that do not meet the standards. If significant evidence is found, the shop will lose its license. Determine if the following outcomes are a Type I or Type II error

. a. The regulators revoke a license for a shop that is certifying cars correctly.

Answer 1

When regulators revoke a shop's license incorrectly, they commit a Type I error. A Type II error is when they don't revoke a license for a shop falsely certifying cars.

Step-by-step explanation:

A Type I error occurs when a true null hypothesis is incorrectly rejected, while a Type II error happens when a false null hypothesis is not rejected. If regulators revoke a license for a shop that is certifying cars correctly, they are committing a Type I error, because they have rejected the true state of affairs where the shop is compliant with the standards. Conversely, if regulators fail to revoke the license of a shop that is incorrectly certifying cars, a Type II error would occur because they have failed to reject a false null hypothesis.