Take the Bernoullimodelwith probability parameter p. Let b p Xn from a random sample of size

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Take the Bernoullimodelwith probability parameter p. Let b p Æ Xn from a random sample of size n.

(a) Find s

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b p

¢

and a default 95% confidence interval for p.

(b) Given n what is the widest possible length of a default 95% interval?

(c) Find n such that the length is less than 0.02.

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