Chapter 9.2, Problem 59E

To determine

To find: The appropriate conclusion for the provided test.

Answer to Problem 59E

It is significant at both the confidence levels.

Explanation of Solution

Given:

The hypotheses are:

  $\begin{array}{l}{H}_0:p=0.4\\ H_a:p>0.4\end{array}$

Test statistic ( z ) = 2.43

Calculation:

The alternative hypothesis suggests that the test is one tailed.

The p-value is calculated as:

  

The p-value is smaller for the both significance levels. Thus, the test is significant at both the levels of significance.

Hence, the correct option is (d).