Question

The results of a survey indicate that the true proportion of households who want a park in their neighborhood is likely in the interval (0.52, 0.8) . What is the point estimate of the proportion of households who want a park in their neighborhood? Enter your answer, as a decimal, in the box.

Answer 1

Answer: The point estimate is 0.66

Explanation:

The point estimate is the best estimation in a given range. It is usually the midpoint of the range.

Here, we have that the range is (0.52, 0.8) so we need to find the mid point between 0.52 and 0.8

for this, we calculate the difference between these numbers, we divide it by two and then we add it to the smallest number:

d = 0.8 - 0.52 = 0.28

d/2 = 0.28/2 = 0.14

midpoint = 0.52 + 0.14 = 0.66

so the point estimate of the proportion of households that want a park in their neighborhood is 0.66

Answer 2

0.66

Explanation:

What are you giving there is a confidence interval. You can obtain a confidence interval based on a sample you got. The length of the confidence interval is determined on how much confidence do you want for your interval (the probability of the real value being inseide the interval) and how big is the sample: the bigger the sample, the smaller the length of the confidence interval. Independently of the sample length, all intervals are centered on the average value you got for the sample, and that is your estimate. In this case, the center of the interval is 0.52+0.8/2 = 0.66.