Question

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

\(\begin{array}{c}\alpha = 1 - CL\\ = 1 - 0.99\\ = 0.01\end{array}\)

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.