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School of Health Professions at the University of Missouri conducted a survey on 15 students asking...

School of Health Professions at the University of Missouri conducted a survey on 15 students asking whether they would like the school to offer a free Statistics program, counted the number of 'yes' answers, and recorded the sample proportion. 14 out of 15 students responded 'yes'. They repeated this 100 times and build a distribution of sample means. Would you expect the shape of this distribution to be symmetric, right skewed, or left skewed? Explain your reasoning. (Note that the questions having reviewed on the normal approximation to the binomial distribution.)

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