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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

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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 p = 0.05 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. Click the icon to view histograms of the simulations. X Discuss how the shape changes with sample size. Histograms of the Simulations O A. The distributions for small samples are left-skewed and get more right-skewed as n increases. O B. The distributions for small samples are left-skewed but are more symmetric as n increases O C. The distributions for small samples are right-skewed and get more left-skewed as n increases. Samples of Size 20 Samples of Size 50 O D. The distributions for small samples are right-skewed but are more symmetric as n increases. 400- 300- O O E. The shape does not change with sample size. Number of Samples Number of Samples 0.25 Sample Proportions Sample Proportions Samples of Size Samples of Size 100 Q 200 ! 200-7 150- Number of Samples Number of Samples 0.14 Sample Proportions Sample Proportions Print Done

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