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 0.257?, upper boundequals 0.503?, n equals1000

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 :

Given that,

Lower confidence interval = 0.257

Upper confidence interval = 0.503

n = 1000

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

= (0.257 + 0.503) / 2

= 0.76 / 2 = 0.38

= 0.380

Point estimate = 0.380

Margin of error = E = Upper confidence interval - = 0.503 - 0.380 = 0.123

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

= x / n

x = * n = 0.380 * 1000 = 380

The number of individuals = 380