When they send out their fundraising letter, a philanthropic organization typically gets a return from about 5% of the people on their mailing list. To see what the response rate might be in the future, they did a simulation using samples of size 20, 50, 100, and 200. For each sample size, they simulated 1000 mailings with success rate p=0.05 and constructed the histogram of the 1000 sample proportions, as shown in the accopmanying table. Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample proportions. Be sure to talk about center, shape, and spread. Click the icon to view the histograms. As the sample size increases, the center of the histogram These simulations the shape of the distribution and the variability in the sample proportions to demonstrate what the Central Limit Theorem says about the sampling distribution model for sample proportions.