Binomial Proportion

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PAS

Cegep/2

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50 words

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1 minute

Proportion of successes in a binomial distribution
Syn. sample proportion (of a sample statistic)

Sample proportion:

$$\hat{p}=\frac{x}{n}$$

Population proportion:

$$p=\frac{K}{N}$$

Properties

$$\begin{array}{rl}E(\hat{P})& =p\\ Var(\hat{P})& =\frac{p(1-p)}{n}\\ Z& =\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\end{array}$$

Contributors

Ajitani Hifumi

Changelog

Last edited about 2 hours ago

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