Our goal is to simulate the collection of multiple samples. For this task, we are going to use the command randBin found under MATH → PROB → #7. The parameters are
randBin(n, p, repetitions) where n is the sample size, p is the proportion, and repetitions is the number of times you want to run the simulation.

For this example, the sample size is 40, the proportion is 0.3, and the number of simulation repetitions is 100. From the home screen, set randBin(40, 0.3, 100) and store the results in L₁. randBin(40,0.3,100) → L₁

Once L₁is established, we need the proportion for each L₁ sample in list L₂. Type L₁/40→L₂ on the home screen (or from the Lists in STAT #1, move up onto L₂, and type L₁/40 at the bottom of the screen, hit ENTER). You now have the Sampling Distribution of the Sample Proportions in L₂. Using L₂ you can find the sampling mean and the sampling standard deviation for the sample proportions.

MATH → PROB → #7	n = sample size p = proportion repetitions = number of simulations needed	Store the results in L1. It may take a few seconds for the generation of the values.	In L2, store the proportions of the values in L1 divided by the sample size, 40.
The Sampling Distribution of Sample Proportions is now in L2.	STAT → CALC#1 Do a 1-Var Stat on L2.	Choose L2.	The sampling mean and standard deviation are shown. The mean of all proportions is 0.29925.

To see this Sampling Distribution from L₂ as a histogram, set STAT PLOT for histogram, ZOOM #9.