Q 8.57 - Elementary Statistics

Question

State True or False. Give Reasons for your answers. 

The margin of error can be determined if you know only the confidence level.

Step-by-Step Solution

Answer

The given statement is False.

Step 1: Given Information

It is given that Confidence Level is known to us.

Step 2: Explanation

Margin of Error calculates precision of confidence interval.

Mathematically,

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

$n$ is sample size and $\sigma$ is population standard deviation.

Also,

Margin of Error, $E=\frac{1}{2}$(Confidence Interval)

Hence, we can calculate margin of error if we know confidence level, sample size and population standard deviation.

The given statement is False.