Question

We would like to construct a 66% confidence interval for the proportion of voters that support building a new prison. What is the appropriate multiplier (z) that would be used in this situation?

Answer 1

Answer:

The appropriate z multiplier for 66% confidence interval is 0.95

Step-by-step explanation:

We are given the following in the question:

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

We have to make a 66% confidence interval for the proportion of voters.

Confidence level = 66%

Significance level =

$\alpha = 1 - 0.66 = 0.34$

$z_{critical}\text{ at}~\alpha_{0.34} = \pm 0.95$

Thus, the appropriate z multiplier for 66% confidence interval is 0.95