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6. In case of discrepancy between the simulation-based p-value and the normal approximation-based p-value, which do you think would be the more reliable? 7. (Optional) Notice that the applet provides you with an option to report the Exact Binomial p-value. Check on the option, and report the resulting p-value: ___________________. 8. (Optional) Which p-value is closer to the Exact Binomial p-value: the simulation-based pvalue (from #2) or the normal approximation-based p-value (from #4)? Figure 1.2 shows a few examples of null distributions. Figure 1.2: Null distributions for various studies. A bell-shaped distribution, called a normal distribution, can be used to nicely approximate some of them, but will not work well for others. St. Georgeâs (n = 10; ð = 0.15) St. Georgeâs (n = 361; ð = 0.15) Halloween treats (n = 283; ð = 0.5) The St. Georgeâs (n = 361) and Halloween treats (n = 283) simulations show bell-shaped curves. However, the first sample of St. Georgeâs heart patients (n = 10) is a not bell-shaped curve, in part because the distribution is not symmetric and in part because there are so few values that the sample proportion can be. June 27, 2014 MAA PREP workshop 37