Determine the point estimate of the population of proportion

Determine the point estimate of the population of proportion, the margin of error of the following confidence interval, and the number of individuals in the sample with specified characteristic, x, for the sample size provided. Lower bound = 0.326, Upper bound = 0.884, n=1000

Solution

a)

p^ (point estimate) = (upper + lower)/2 = (0.884+0.326)/2 = 0.605 [ANSWER]

b)

E (margin of error) = (upper - lower) / 2 = (0.884-0.326)/2

E = 0.279 [ANSWER]

c)

x = p^ n = 0.605*1000 = 605 [ANSWER]