Question

what are the connections in statistics between a confidence level,margin of error and the critical values

Answer 1

The margin of error is the range of values below and above the sample statistic in a confidence interval.

A margin of error tells you how many percentage points your results will differ from the real population value.

For example, a 95% confidence interval with a 3 percent margin of error means that your statistic will be within 3 percentage points of the real population value 95% of the time.

The relationship between Margin of Error and Critical value:

Margin of error = Critical value x Standard deviation or Margin of error = Critical value x Standard error of the statistic