If we take a size-10000 IID sample of Seattle residents at 2010 and count the nu

Question

If we take a size-10000 IID sample of Seattle residents at 2010 and count the number of residents who have two or more races. This yields a COUNT statistic. If we divide the COUNT statistic by the sample size, we obtain a proportion statistic. Which of the following statement is correct?

A: The COUNT statistics will be very close to its expected value because of the Law of Large Number. B: The COUNT statistics will be very close to its expected value because of the Central Limit Theorem. C: The proportion statistics will be very close to its expected value because of the Law of Large Number. D: The proportion statistics will be approximately Normally distributed around its expected value because of the Law of Large Number.

Explanation / Answer

D: The proportion statistics will be approximately Normally distributed around its expected value because of the Law of Large Number.

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