Front

What is the 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 represents the range within which the true population parameter is expected to fall.

Front

How is the Margin of Error calculated for a confidence interval?

Back

Margin of Error = Z * (σ/√n), where Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

Front

What does a 95% confidence interval mean?

Back

A 95% confidence interval means that if we were to take 100 different samples and compute a confidence interval for each sample, approximately 95 of the 100 confidence intervals will contain the true population mean.

Front

What is a confidence level?

Back

The confidence level is the probability that the confidence interval contains the true population parameter. Common confidence levels are 90%, 95%, and 99%.

Front

What is the role of sample size in determining the 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 standard deviation in the context of Margin of Error?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. In the context of Margin of Error, it indicates how much individual data points differ from the mean.

Front

What is the formula for constructing a confidence interval?

Back

Confidence Interval = Sample Mean ± Margin of Error.

Front

What is the Z-score for a 95% confidence level?

Back

The Z-score for a 95% confidence level is approximately 1.96.

Front

How does the Margin of Error affect survey results?

Back

A larger Margin of Error indicates less confidence in the accuracy of the survey results, while a smaller Margin of Error suggests more precise estimates.

Front

What is the difference between population and sample?

Back

A population includes all members of a specified group, while a sample is a subset of the population used to make inferences about the whole.