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.

H0: the food is safe
Ha: 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.

a. type I
b. type II
c. not an error

Answer 1

b. type II

Explanation:

given that 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.

H0: the food is safe

Ha: the food is not safe

It was concluded from the hypothesis test that the food is safe while it was not actually safe.

This is a case of false acceptance of null hypothesis when it is false.

In hypothesis test, there are two errors. a type I error is the rejection of a true null hypothesis while a type II error is the non-rejection of a false null hypothesis

So this is type II error because we did not reject a false null hypothesis.