P57StatisticsIntermediateCalculate12 min

Calculate the Margin of Error Behind a 95% Confidence Interval

Calculate a 95% proportion interval's margin component and interpret its width.

#calculate#confidence-interval#proportions

Scenario

A survey estimates 60% support from n = 400 respondents. Use z = 1.96.

Problem statement

Calculate the approximate margin of error.

Your Task

  1. Calculate the standard error.
  2. Multiply by 1.96.
  3. Explain what narrows or widens the interval.

Related Concepts

Confidence intervalsStandard errorSampling

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