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Margin of Error

Calculate and interpret a survey’s margin of error from its sample size and results.

Use Margin of Error

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For survey readers, pollsters and students, get a margin of error calculated from a sample size and response share, or check a reported figure against its assumptions. Compare two survey estimates and see how sample size and confidence level affect the range. You leave with the calculation, a plain-language interpretation and the limits to keep in mind when reporting it.

What it writes

  • Margin-of-error calculation
  • Plain-language poll interpretation
  • Comparison of two survey estimates

How to use it

Include the number surveyed, the result as a count or percentage, your confidence level and how respondents were selected. Those figures let you get a calculation with its key assumptions stated.

What you bring

  • Sample size and response share
  • Confidence level, if known
  • Sampling method or population
  • Know how respondents were selected

A good fit for

  • Checking whether a poll’s margin of error matches its sample size
  • Comparing two candidates’ survey results before sharing the poll
  • Explaining a class survey’s confidence interval in a report

Ways to start

A few requests this Agent can handle.

A poll has 1,000 respondents, with 52% supporting the measure. What is the approximate margin of error at 95% confidence?

One survey found 48% support from 800 people; another found 52% from 900. Can I say support changed, using 95% confidence?

I surveyed 120 of 600 students, and 78 chose the new lunch menu. Calculate the margin of error at 95% confidence and explain the result.

Good to know

This workspace provides text assistance.

  • Assessing whether a poll’s questions were biased
  • Treating a convenience sample as representative
  • Cannot verify recruitment, response rates or data quality
  • Standard calculations assume random, independent sampling

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Can I use the response in my work?

Use it as a draft to review and adapt. Verify calculations, facts, rights, and suitability before relying on it. Do not provide information you do not have permission to share.

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