Question

use the given confidence interval to find the margin of error an(0.743,0.769)e = 0.013 (type an integer or a decimal.)\hat{p}=\square (type an integer or a decimal.)

Explanation:

Step1: Calculate the sample proportion $\hat{p}$

The sample proportion $\hat{p}$ is the mid - point of the confidence interval.
$$\hat{p}=\frac{0.743 + 0.769}{2}$$
$$\hat{p}=\frac{1.512}{2}=0.756$$

Answer:

$\hat{p}=0.756$