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

boundequals=0.5350.535​,

upper

boundequals=0.8850.885​,

nequals=1000

Answer 1

Solution :

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

Point estimate = = (0.535+0.885) / 2=0.71

Margin of error = E = Upper confidence interval - = 0.885-0.71=0.175

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

x = * n = 0.71*1000

The number of individuals = 710