Question: p and the Normal distribution. Consider the binomial setting with n = 60 and p = 0.4. (a) The sample proportion p will have a

ˆp and the Normal distribution. Consider the binomial setting with n = 60 and p = 0.4.

(a) The sample proportion ˆp 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 p∗ for which the probability is 95%

that ˆp will be between ±p∗. Mark these two values on your sketch.

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