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
Based on the hypotheses above, Is the following statement a Type I or Type II error?
The sample suggests that the food is not safe, but it actually is safe.
a) Type I
b) Type II

Answer 1

Type I error

Explanation:

Here, we are interested in knowing the type of error that stems from the hypotheses set up

in the question.

From the suggestion of the sample, we know that the food is actually safe but was wrongly labeled as being unsafe.

So in this case, the type of error committed is the type 1 error since the food is actually safe but there was a wrong suggestion of being generally unsafe by the sample