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 sugsests that the food is safe, but it actually is not safe. type I type II not an error
Solution
Step 1 ：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.
Step 2 ：\(H_{0}\) : the food is safe
Step 3 ：\(H_{a}\) : the food is not safe
Step 4 ：The following is an example of what type of error? The sample suggests that the food is safe, but it actually is not safe.
Step 5 ：In hypothesis testing, a type I error is when we reject the null hypothesis when it is actually true. In this case, the null hypothesis is that the food is safe. So, a type I error would be if we concluded that the food is not safe when it actually is safe.
Step 6 ：A type II error is when we fail to reject the null hypothesis when it is actually false. In this case, a type II error would be if we concluded that the food is safe when it actually is not safe.
Step 7 ：So, the error described in the question is a type II error.
Step 8 ：Final Answer: The error described in the question is a \(\boxed{\text{type II error}}\).
