Chapter 9.1, Problem 24E

To determine

To calculate: The power of the significance test.

Answer to Problem 24E

The power of the significance test is 0.86.

Explanation of Solution

Given Information:

  $\text{Significance}\text{level}\left(\alpha \right)=0.01$ .

  $\text{Probability}\left(\text{P}\right)\text{for}\text{Type}\text{II}\text{error}=0.14$ .

Formula Used$\text{P}\left(\text{Type}\text{II}\text{erro}r\right)=1-\text{Power}$ .

Calculation:

Find the power. Use the formula $\text{P}\left(\text{Type}\text{II}\text{erro}r\right)=1-\text{Power}$ .

  $\begin{array}{c}\text{Power}=1-\text{P}\left(\text{Type}\text{II}\text{error}\right)\\ =1-0.14\\ =0.86\end{array}$

Hence, the power of the significance test is 0.86.