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

The appropriate z multiplier for 66% confidence interval is 0.95

Explanation:

We are given the following in the question:

Confidence interval:

`\hat{p}\pm z_(stat)\sqrt{\frac{\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