1. Population
Binary population
Start by taking one sample slowly. Watch how a random sample produces one sample proportion.
Population pieces
Selected in current sample
This population has 100 trail mix pieces. A raisin counts as success, and a non-raisin counts as failure.
2. Current Sample
One random sample is shown here, then its sample proportion is calculated.
Waiting for sample
Take a sample to begin.
3. Sampling Distribution of p̂
Each sample proportion drops onto the dot plot. Repeated samples build the sampling distribution.
One sample → one dot
Sample proportions
4. Summary
As more sample proportions are collected, the center and spread of the sampling distribution become easier to see.
Live summary
Population proportion (p)
--
--
Mean of sample proportions
--
SD of sample proportions
--
Samples taken
0
Mean of the sampling distribution
μp̂ = p
μp̂ = p = --
μp̂ = --
Standard deviation of the sampling distribution
σp̂ = √(p(1-p)/n)
σp̂ = √((--)(1---)/n)
σp̂ = --
At first, the sampling distribution will look rough. After more samples, the pattern becomes clearer.