Question

food inspectors inspect samples of food products to see if they are safe. this can be thought of as a hypothesis test with the following hypotheses.

$h_0$: the food is safe

$h_a$: the food is not safe

the following is an example of what type of error?

the sample suggests that the food is safe, but it actually is not safe.

type i
type ii
not an error

Explanation:

Type I and Type II Errors

• Type I Error: Rejecting \(H_0\) when \(H_0\) is True.
• Type II Error: Failing to reject \(H_0\) when \(H_0\) is False.

In this case, \(H_0\) (the food is safe) is not rejected (the sample suggests the food is safe) but \(H_0\) is actually False (the food is not safe).

Answer:

type II