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 = 0.322, upper bound = 0.728, n = 1200
the point estimate of the population proportion is 0.525
(round to the nearest thousandth as needed.)
the margin of error is 0.203
(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.)

Explanation:

Step1: Recall the formula for \(x\)

The formula for the sample proportion \(\hat{p}\) is \(\hat{p}=\frac{x}{n}\), so \(x = \hat{p}\times n\)

Step2: Substitute the values

We know that \(\hat{p}=0.525\) and \(n = 1200\)

$$x=0.525\times1200$$

$$x = 630$$

Answer:

\(630\)