Statistical Applets Sampling Distribution Of A Proportion

If the sample size, n, is "large" and both np and n(1 - p) are large enough, the sampling distribution of the sample proportion p̂ = X/n will be approximately a Normal distribution with mean μ = p and standard deviation: $σ = \sqrt{\frac{p (1 - p)}{n}}$ This applet illustrates that important fact by allowing you to generate individual samples or thousands of samples with the specified parameters. You can then compare the distribution of sample proportion against the Normal distribution predicted from the parameters.	Choose a population proportion of "successes" between 0 and 1 and a sample size, n, between 20 and 2000. Then click GENERATE ONE SAMPLE to generate samples one at a time or click GENERATE SAMPLES to generate 10,000 samples. Click "Show Normal Curve" to compare the sampling distribution with the Normal Distribution approximation.

Statistical Applets

Sampling Distribution Of A Proportion

If the sample size, n, is "large" and both np and n(1 - p) are large enough, the sampling distribution of the sample proportion p̂ = X/n will be approximately a Normal distribution with mean μ = p and standard deviation:

$σ = \sqrt{\frac{p (1 - p)}{n}}$

This applet illustrates that important fact by allowing you to generate individual samples or thousands of samples with the specified parameters. You can then compare the distribution of sample proportion against the Normal distribution predicted from the parameters.

Choose a population proportion of "successes" between 0 and 1 and a sample size, n, between 20 and 2000. Then click GENERATE ONE SAMPLE to generate samples one at a time or click GENERATE SAMPLES to generate 10,000 samples. Click "Show Normal Curve" to compare the sampling distribution with the Normal Distribution approximation.