Question

use the given confidence interval to find the margin of error and the sample proportion. (0.599,0 629) e = (type an integer or a decimal.)

Explanation:

Step1: Find the sample proportion

The sample proportion $\hat{p}$ is the mid - point of the confidence interval.
$$\hat{p}=\frac{0.599 + 0.629}{2}=\frac{1.228}{2}=0.614$$

Step2: Find the margin of error

The margin of error $E$ is half of the length of the confidence interval.
The length of the confidence interval is $0.629-0.599 = 0.03$.
$$E=\frac{0.629 - 0.599}{2}=\frac{0.03}{2}=0.015$$

Answer:

The margin of error $E = 0.015$