Question

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

Answer 1

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.

Explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used(best point estimate) is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

The two bounds are 0.692 and 0.748.

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

The mean of the bounds, so:

(0.692+0.748)/2 = 0.72

The best point estimate of the proportion of adults in the population who say that the law goes easy on celebrities is 0.72.