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 boundequals0.338​, upper boundequals0.762​, nequals1000

Answer 1

Solution :

n = 1000

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

Point estimate = = (0.338 + 0.762) / 2 = 0.550

Margin of error = E = Upper confidence interval - = 0.762 - 0.550 = 0.212

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

= x / n

x = * n = 0.550 * 1000 = 550

The number of individuals = 500