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A 3% margin of error at a 90% level of confidence requires a sample size of about 750. For a 95% level of confidence, the sample size would be about 1,000.
One quick note: Most polls report margins of error alongside another technical term, “ confidence interval.” In the most rigorous reporting of polls, you might see a sentence near the end that says ...
Virtually always the reported margin of error assumes the maximum MOE for that sample size, ie, p = 0.5. It also nearly always assumes that a 95% confidence interval is being used.
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And since pollsters generally use a confidence interval of 95 percent, one out of 20 polls will be a statistical outlier – that is, outside the margin of error – just by chance.
An election poll's point estimate is stabbing for the right answer, but the margin of error usually includes the true figure. Sometimes even that can be wrong.