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Chapter 5: Q3CQQ (page 195)

Critical ValueFor the survey described in Exercise 1 鈥淐elebrities and the Law,鈥� find thecritical value that would be used for constructing a 99% confidence interval estimate of thepopulation proportion.

Short Answer

Expert verified

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

Step by step solution

01

Given information

The level of confidence is 99%.

02

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.

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