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Suppose 80%80 \% Of the Incoming Email Messages for a College's Computer System

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Suppose 80%80 \% of the incoming email messages for a college's computer system are spam.
-Display your answer "Because you are considering a large sample size, the Central Limit Theorem predicts the sampling distribution of sample proportions of messages that are spam is approximately normal, centered at 80 with standard deviation .8(.2)/200\sqrt{.8(.2) / 200} or .0283 . So the zz -score for a proportion of .75 equals (.75.8)/.0461(.75-.8) / .0461 or -1.77 . The probability lying to the right (exceeding .75) equals .9616." as a shaded area in a well-labeled sketch.

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