For each sample size, they simulated 1000 samples with success rate p = 0.85 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.

Number of Samples Number of Samples Samples of Size 20 400 300 200 100 0 0.5 Number of Samples 300 200 100 Samples of Size 50 1.0 0.65 1.00 Sample Proportions Sample Proportions Samples of Size 75 Samples of Size 100 250 200 200- 150 100- 50 Number of Samples 150 100 550 0 0.65 Sample Proportions 0 1.00 0.75 0.85 Sample Proportions 0.95