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Sample proportions

Understand the concept of the sample proportion 𝑝̂ as a random variable whose value varies between samples, and the formulas for the mean 𝑝 and standard deviation √𝑝(1 − 𝑝)/𝑛 of the sample proportion 𝑝̂, where 𝑛 is the sample size.

mm-u4-t4-s2-d1

Interactive

Building the distribution of p̂

manipulative

Draw repeated samples from a Bernoulli population and watch the histogram of sample proportions p̂ narrow and approach normality as n grows.

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