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​ = 0.307, upper bound = 0.853​, n = 1200

Answer 1

The point estimate of the population proportion is 0.58, the margin of error is 0.273, and the number of individuals in the sample with the specified characteristic is 696.

Step-by-step explanation:

To find the point estimate of the population​ proportion, we take the average of the lower and upper bounds.

So the point estimate is (0.307 + 0.853) / 2

= 0.58.

To calculate the margin of error, we subtract the lower bound from the point estimate.

So the margin of error is 0.58 - 0.307

= 0.273.

The number of individuals in the sample with the specified​ characteristic, x, can be found by multiplying the point estimate by the sample size.

So x = 0.58 * 1200

= 696.