Chapter 10, Problem 16PT3

To determine

To find: The option that best explains a Type II error.

Answer to Problem 16PT3

The correct option is (e).

Explanation of Solution

Given:

The null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:\mu =5\\ H_a:\mu >5\end{array}$

Type II error occur when the null hypothesis is not rejected even if it is known that it is false. Here, Type II error would occur if EPA is not abler to collect the enough evidence that amount of emission is exceeding the acceptable limits even if the acceptable limits are being exceeded

Thus, the correct option is (e).