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kturvey225
kturvey225
10.10.2021 • 
Mathematics

Mr. Jensen told his class that he plays basketball frequently, and he claimed that he could make 80\%80%80, percent of his free-throw attempts. The class suspected that Mr. Jensen was actually less than an 80\%80%80, percent free-throw shooter. To test their theory, they had Mr. Jensen shoot a series of 404040 free-throws. He made \hat p=60\% p ^ =60%p, with, hat, on top, equals, 60, percent of them. To see how likely a sample like this was to happen by random chance alone, the class performed a simulation. They simulated 100100100 samples of n=40n=40n, equals, 40 free-throws, where each free-throw had an 80\%80%80, percent chance of being made. They recorded the proportion of free-throws made in each sample. Here are the sample proportions from their 100100100 samples

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