Determine the point estimate of the population proportion, the margin of error f

Question

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

. Lower bound =0.518 , upper bound =0.882 , n= 1500

The point estimate of the population proportion is ------. (Round to the nearest thousandth as needed.)

The margin of error is -------. (Round to the nearest thousandth as needed.)

The number of individuals in the sample with the specified characteristic is ------. (Round to the nearest integer as needed.)

Explanation / Answer

lower bound = 0.518

upper bound = 0.882

sample mean = (lower bound+upper mean)/2

= (0.518+0.882)/2 = 0.7

a)

point estimate of the population proportion = sample mean = 0.7

b)

margin of error = (upper bound - lower mean)/2

= (0.882 - 0.518)/2 = 0.182

c)

sample size = 1500

number of individuals in the sample with the specified characteristic x = (sample size)*(point estimate)

= 1500*0.7 = 1050

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