Chapter 9, Problem T9.8SPT

To determine

To find: the following is closest to the P-value for this test.

Answer to Problem T9.8SPT

0.20

Explanation of Solution

Given:

  $\begin{array}{l}{H}_0:p=0.4\\ H_1:p\ne 0.4\\ z=1.28\end{array}$

Calculation:

The P-value is the probability of getting the value of the test statistic:

  $\begin{array}{c}P=P\left(Z<-1.28\text{or Z> 1}\text{.28}\right)\\ =2\times P\left(Z<-1.28\right)\\ =2\times 0.1003\\ =0.2006\\ =0.20\end{array}$

Hence, the correct option is (d)