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=0.263​, upper bound =0.507​, n=1200

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.)

Answer 1

Solution :

Point estimate = = (Lower confidence interval + Upper confidence interval ) / 2

Point estimate = = (0.263+0.507) / 2=0.385

Margin of error = E = Upper confidence interval - = 0.507-0.385=0.122

The number of individuals in the sample with the specified characteristic is ,

x = * n = 0.385*1200

The number of individuals = 462