Chapter 9.2, Problem 60E

To determine

To find: The confidence interval that would lead the rejection of the null hypothesis

Answer to Problem 60E

The confidence interval (0.19, 0.27) would lead the rejection of the null hypothesis.

Explanation of Solution

Given:

Confidence level = 95%

The null and alternative hypotheses are:

  $\begin{array}{l}{H}_0:p=0.30\\ H_a:p\ne 0.30\end{array}$

Calculation:

The null hypothesis would be rejected, if the confidence interval does not contain 0.30. Out of all the confidence intervals, the confidence interval (0.19, 0.27) does not contain the value 0.30. Thus, it would lead the rejection of the null hypothesis.

Hence, the correct option is (b).