Draw some pictures. Consider the binomial setting with

Chapter , Problem 8.22

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Draw some pictures. Consider the binomial setting with n100 and p0.4. (a) The sample proportion p will have a distribution that is approximately Normal. Give the mean and the standard deviation of this Normal distribution. (b) Draw a sketch of this Normal distribution. Mark the location of the mean. (c) Find a value of x for which the probability is 95% that p is within x of 0.4. Mark the corresponding interval on your plot. 8

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