Sampling Distribution for Proportions, n = 3

This GeoGebra example demonstrates the sampling distribution of sample proportions when drawing samples of size 3 from a population. It enumerates all possible subsets (combinations) of size 3, computes the proportion of successes for each subset, and displays the resulting distribution as a dot plot. The key mathematical concepts include sampling distribution, sample proportion, combinatorial enumeration, discrete probability distribution, and the foundational idea of the central limit theorem. The construction uses GeoGebra commands such as Zip and Sequence to generate all subsets, Length and Element to calculate proportions, and DotPlot to visualize the distribution. Interactive elements like sampleDisplayed allow users to step through individual samples. This resource is ideal for high school or introductory college statistics courses, helping students grasp how sample proportions vary and how the sampling distribution relates to the population parameter.