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 equals=0.689,

upper bound equals=0.891,

nequals=1200

Answer 1

SOLUTION:

From given data,

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.

Where,

Lower bound = 0.689

Upper bound = 0.891

n =1200

The point estimate

= (Lower bound + Upper bound) / 2

= (0.689 + 0.891) / 2

= 1.58 / 2

= 0.79

The point estimate is = = 0.79

The margin of error

ME = Upper bound - point estimate

ME = 0.891 - 0.79

ME = 0.101

The margin of error is = ME = 0.101

The number of individuals in the sample

X = n*

X = 1200*0.79

X = 948

The number of individuals in the sample is 948.