Suppose $80 \%$ of the incoming email messages for a college's computer system are spam.
-Would 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 $\sqrt{.8(.2) / 200}$ or .0283 . So the $z$-score for a proportion of .75 equals $(.75-.8) / .0461$ or -1.77 . The probability lying to the right (exceeding .75) equals .9616." be larger, smaller, or the same if the sample size were 100 messages rather than 200 messages? Explain briefly.

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The Answer of Suppose $80 \%$ of the incoming email messages for a college's computer system are spam.
-Would 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 $\sqrt{.8(.2) / 200}$ or .0283 . So the $z$-score for a proportion of .75 equals $(.75-.8) / .0461$ or -1.77 . The probability lying to the right (exceeding .75) equals .9616." be larger, smaller, or the same if the sample size were 100 messages rather than 200 messages? Explain briefly.

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

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