Chapter 9.1, Problem 20E

To determine

To find: the wrong conclusion with this.

Answer to Problem 20E

It is observed that the issue with the statement in the textbook is then the data do not convince that $H_1$ is true, but the data show convincing proof that the alternative hypothesis $H_1$ is true.

Explanation of Solution

Given:

  $\begin{array}{l}p=0.01\\ \alpha =0.05\\ H_0:\mu =12\\ H_1:\mu \ne 12\end{array}$

If the P-value is smaller than the significance level, then reject the null hypothesis:

  $0.01<0.05\Rightarrow \text{Reject }{H}_0$

There is convincing proof that the null hypothesis is not true.

It is observed that the issue with the statement in the textbook is then the data do not convince that $H_1$ is true, but the data show convincing proof that the alternative hypothesis $H_1$ is true.