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Statistics · Axiom Academy
REAL WORLD Political Polls and Margins Understanding confidence intervals and margins of error in election polling You've probably seen headlines like "Candidate A leads by 3 points" or "Race is too close to call." But beneath these simple statements lies sophisticated statistics that pollsters use to estimate what millions of voters are thinking based on surveying just a few thousand people. The key question: How can we trust a poll of 1,000 people to tell us about an election where 150 million people might vote? The answer lies in confidence intervals and margins of error . Let's look at a typical poll result from a major polling organization during election season: The poll shows Candidate A at 48% and Candidate B at 45%, with a margin of error of ±3.5 points. This margin of error is crucial because it tells us the range of uncertainty in these estimates. With Candidate A at 48% and Candidate B at 45%, and a margin of error of ±3.5 points, let's think about what the true support levels could be. Given the margin of error, is it possible that Candidate B is actually ahead? Understanding Confidence Intervals The margin of error creates a confidence interval around each candidate's support level. Here's what that means for our poll: Notice that the intervals overlap between 44.5% and 48.5%. This means within the 95% confidence level, it's statistically possible for Candidate B to actually be ahead, even though the poll shows Candidate A leading.
This is the written version of the interactive lesson above. See the full Statistics course.