Q1CQQ - Elementary Statistics

Question

Celebriries and the Law Here is a 95% confidence interval estimate of the proportion ofadults who say that the law goes easy on celebrities: 0.692 <p < 0.748 (based on data froma Rasmussen Reports survey). What is the best point estimate of the proportion of adults in thepopulation who say that the law goes easy on celebrities?

Step-by-Step Solution

Answer

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.720.

Step 1: Given information

The 95% confidence interval estimate of the proportion of adults who say that the law goes easy on celebrities is 0.692<p<0.748.

Step 2: Compute the best point estimate

The best point estimate for the population proportion is the sample proportion.

 

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is computed as follows:

 \(\begin{array}{c}\hat p = \frac{{lower\;confidence\;interval\;limit + upper\;confidence\;interval\;limit}}{2}\\ = \frac{{0.692 + 0.748}}{2}\\ = 0.720\end{array}\)

                   

Thus, the best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.720.