Chapter 12, Problem AP4.5CPT

To determine

To find out which of the following describes a Type I error, in the context of this situation.

Answer to Problem AP4.5CPT

Option (b) is the correct option.

Explanation of Solution

It is given that:

  $\begin{array}{l}{H}_0:{\mu }_G={\mu }_N\\ H_1:{\mu }_G\ne {\mu }_N\end{array}$

A Type I error is rejecting the null hypothesis when it is true.

Thus, the correct statement should then state that there is no convincing evidence that the mean ${\mu }_G$ is less than the mean ${\mu }_N$ , when the two means are actually exercise. The correct statement then appears to be (b), that is, the FDA finds convincing evidence that the generic drug is less effective, when in reality it is equally effective. Thus, the option (b) is the correct option.