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=0.089​, upper bound=0.431​, n=1000

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 :

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

Point estimate = = (0.089 + 0.431) / 2

Point estimate = = 0.260

Margin of error = E = Upper confidence interval -

Margin of error = E = 0.431 - 0.260

Margin of error = E = 0.171

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

= x / n

x = * n = 0.260 * 1000

The number of individuals = 260