Question

State True or False. Give Reasons for your answers.

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

Short answer

The given statement is False.

Step-by-step solution

Given Information

It is given that Confidence Level is known to us.

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.