Question

Critical ValueFor the survey described in Exercise 1 “Celebrities and the Law,” find the critical value that would be used for constructing a 99% confidence interval estimate of the population proportion.

Short answer

The critical value that would be used for constructing a 99% confidence is 2.576.

Step-by-step solution

Given information

The level of confidence is 99%.

Compute the critical value

The level of confidence (CL) is 99%.

The level of significance $\left(\alpha \right)$is obtained as follows:

$$\begin{gathered} \alpha =1-CL \\ =1-0.99 \\ =0.01 \end{gathered}$$

Using the Z table, the two-tailed critical value obtained at 0.01 level of significance is 2.576.

Therefore, the critical value is z = 2.576.