Margin of Error

Front

What is the definition of Margin of Error?

Back

The Margin of Error is a statistic that expresses the amount of random sampling error in a survey's results. It indicates the range within which the true value is expected to lie.

Front

How is the Margin of Error calculated?

Back

Margin of Error = Critical Value x Standard Error. The critical value is determined by the desired confidence level, and the standard error is calculated from the sample data.

Front

What does a 95% confidence interval mean?

Back

A 95% confidence interval means that if the same population were sampled multiple times, approximately 95% of the calculated intervals would contain the true population parameter.

Front

If a survey reports a margin of error of ±3%, what does this imply?

Back

It implies that the true value is expected to fall within 3 percentage points above or below the reported statistic.

Front

What is a confidence interval?

Back

A confidence interval is a range of values, derived from sample statistics, that is likely to contain the true population parameter.

Front

Given a sample mean of 50 and a margin of error of 5, what is the confidence interval?

Back

The confidence interval is (45, 55).

Front

What is the relationship between sample size and Margin of Error?

Back

As the sample size increases, the Margin of Error decreases, leading to a more precise estimate of the population parameter.

Front

What is the formula for calculating the confidence interval?

Back

Confidence Interval = Sample Mean ± Margin of Error.

Front

If a poll shows 60% support with a margin of error of ±4%, what is the range of support?

Back

The range of support is 56% to 64%.

Front

What does it mean if a Margin of Error is reported as ±2%?

Back

It means that the true value is expected to be within 2 percentage points above or below the reported statistic.