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=0.140​, upper bound=0.550​, n+1200

Answer 1

Solution :

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

Point estimate = = (0.140+0.550) / 2=0.345

Margin of error = E = Upper confidence interval - = 0.550-0.345=0.205

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

x = * n = 0.345*1200

The number of individuals = 414