Question

The margin of error is also called the maximum error of the estimate. Explain why.

Short answer

This is because margin of error is estimating the mean of population by sample mean.

Step-by-step solution

Given Information

We are given with margin of error. We need to state why it is referred to as maximum error of estimate.

Explanation

For the given confidence level, estimating the mean of population by given sample mean is called margin of error.

Mathematically,

$E=z_{\frac{a}{2}}\left(\frac{\sigma }{\sqrt{n}}\right)$

Therefore, the margin of error is greater of the maximum error of the estimate.