Determine the point of estimate of the population proportion

Determine the point of estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specific characteristic, x, for the sample size provided.

Lower Bound = 0.247, upper bound = 0.753, n=1200

a) The Point estimate of the population proportion is_

b) The margin of error is_

c) The number of individuals in the sample with the specific characterisitc is_

Solution

The point estimate of the population proportion equals the \"midpoint\" of the interval ...

point estimate = (1/2)(0.247+0.753) = 0.5

margin error equals the distance from the point estimate to either endpoint ...

margin of error = 0.753 - 0.5 = 0.253