Chapter 12, Problem AP4.15CPT

To determine

To find out what the question means in this context.

Answer to Problem AP4.15CPT

Option (b) is the correct option.

Explanation of Solution

It is given that $54\%$ is the point estimate in the poll based on the sample. This is not the true population proportion unless a census was taken which is impossible to do with a poll. And $3\%$ is the margin of error calculated by the sample data, only one of the answers is the correct way to analyze a confidence interval.

For example, it's not (a) option because it's either a $\text{0\% or 100\%}$ , that the true percent is within the interval since the true percent does not change. Thus, a confidence interval approach means that if this method was used thousands of times, about $95\%$ of the intervals will provide an estimate within the truth $3\%$ of the time. Thus, option (b) is the correct option, i.e. the poll used a method that provides an estimate within $3\%$ of the truth about the population $95\%$ of the time