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Distribution of Sample Proportions

Author: Ryan Backman
Video Transcript
Terms to Know
Distribution of Sample Proportions

A distribution where each data point consists of a proportion of successes of a collected sample. For a given sample size, every possible sample proportion will be plotted in the distribution.

Standard Deviation of a Distribution of Sample Proportions

The square root of the product of the probabilities of success and failure (p and q, respectively) divided by the sample size.

Standard Error

The standard deviation of the sampling distribution of sample proportions.

Formulas to Know
Mean of a Distribution of Sample Proportions

mu subscript p with overbrace on top end subscript space equals space p

Standard Deviation of a Distribution of Sample Proportions

sigma subscript p with overbrace on top end subscript space equals space square root of fraction numerator p q over denominator n end fraction end root