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 for future​ appeals, they did a simulation using samples of size​ 20, 50,​ 100, and 200. For each sample​ size, they simulated 1000 mailings with success rate pequals0.05 and constructed the histogram of the 1000 sample​ proportions, shown in the accompanying link. Explain what these histograms say about the sampling distribution model for sample proportions. Be sure to talk about​ shape, center, and spread. LOADING... Click the icon to view histograms of the simulations. Question content area bottom Part 1 Discuss how the shape changes with sample size. A. The distributions for small samples are​ left-skewed and get more​ right-skewed as n increases. B. The distributions for small samples are​ right-skewed but are more symmetric as n increases. Your answer is correct.C. The distributions for small samples are​ right-skewed and get more​ left-skewed as n increases. D. The distributions for small samples are​ left-skewed but are more symmetric as n increases. E. The shape does not change with sample size. Part 2 Discuss how the center changes with sample size. A. The center approaches the population proportion of 0.05 as n decreases. B. The center varies seemingly independent of sample size. C. The center approaches the population proportion of 0.05 as n increases. Your answer is not correct.D. The center does not change with sample​ size; all the histograms are centered near 0.05. This is the correct answer. Part 3 Discuss how the variability changes with sample size. A. As n gets​ larger, the histograms approach the Normal​ shape, and the variability in the sample proportions increases. B. As n gets​ smaller, the histograms approach the Normal​ shape, and the variability in the sample proportions increases. C. As n gets​ larger, the histograms approach the Normal​ shape, and the variability in the sample proportions decreases. D. As n gets​ smaller, the histograms approach the Normal​ shape, and the variability in the sample proportions decreases.