Use the applet for the Sampling Distribution for the Sample Proportion at www.artofstat.com/webapps.

html to illustrate this concept. Set the population proportion as 0.50 and sample size n = 100.

(a) Simulate once (setting the number of samples to 1 and clicking on Draw Sample) and report the counts and the proportions for the two categories. Did you get a sample proportion close to 0.50? Perform this simulation of a random sample of size 100 ten times, each time observing from the graphs the counts and the corresponding sample proportion of yes votes. Summarize.

(b) Now plot the results of simulating a random sample of size 100 and finding the sample proportion 10,000 times, by setting 10,000 for the number of samples of size n. How does this plot reflect the Central Limit Theorem?