Chapter 9.3, Problem 93E

(a)

To determine

To find: the power of the test against this alternative.

Answer to Problem 93E

  $\text{Power =}0.86=86\%$

Explanation of Solution

Given:

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

Calculation:

The power is the complement of the probability of type II error, therefore the power is $\text{Power =1-}P\left(\text{Type II error}\right)=1-0.14=0.86=86\%$

(b)

To determine

To Calculate: the probability of making a Type I error.

Answer to Problem 93E

  $P\left(\text{Type I error}\right)=0.01=1\%$

Explanation of Solution

Given:

  $\alpha =0.01$

Calculation:

The significance level $\alpha$ shows the probability of type I error.

  $P\left(\text{Type I error}\right)=\alpha =0.01=1\%$