For each sample size, they simulated 1000 samples with success rate and constructed the histogram of the 1000 sample proportions, shown here. Explain how these histograms demonstrate what the Central Limit Theorem says about the sampling distribution model for sample proportions. Be sure to talk about shape, center, and spread.

Samples of Size 20 400 Number of Samples 100 100- 0 300- 200- 250 Number of Samples g 200 150- 100- 50 0 0.65 0.5 Sample Proportions Samples of Size 75 Sample Proportions 1.0 Number of Samples 300 200- 100- 0 0.65 Samples of Size 50 Sample Proportions 1.00 Samples of Size 100 200 Number of Samples 150 100 50 0 1.00 0.75 0.85 0.95 Sample Proportions