Exercise

Exercise 9. Distribution of X-hat

For \(N=100\), the central limit theorem tells us that the distribution of \(\hat{X}\) is...

Instructions

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Possible Answers

practically equal to \(p\).
approximately normal with expected value \(p\) and standard error \(\sqrt{p(1-p)/N}\).
approximately normal with expected value \(\bar{X}\) and standard error \(\sqrt{\bar{X}(1-\bar{X})/N}\).
not a random variable.

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