Understand and use the approximate confidence interval, (𝑝̂− 𝑧√𝑝̂(1−𝑝̂) 𝑛,  𝑝̂+ 𝑧√𝑝̂(1−𝑝̂) 𝑛), as an interval estimate for 𝑝, the population proportion, where 𝑧 is the appropriate quantile for the standard normal distribution.

mm-u4-t5-s1-d2

Interactive

Confidence interval for a proportion

manipulative

Sliders for p̂, n, and confidence level show the margin of error E = z√(p̂(1−p̂)/n) and interval width on a fixed axis, plus an E-vs-n curve.

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