Question

use the given confidence interval to find the margin of error and the sample proportion. (0.617, 0.647) e = (type an integer or a decimal.)

Explanation:

Step1: Find the margin of error formula

The margin of error \(E\) for a confidence interval \((a,b)\) is given by \(E=\frac{b - a}{2}\)

Step2: Substitute the values of \(a\) and \(b\)

Here \(a = 0.617\) and \(b=0.647\). Then \(E=\frac{0.647-0.617}{2}\)

Step3: Calculate the value of \(E\)

\(E=\frac{0.03}{2}=0.015\)

Answer:

\(0.015\)