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Consider a Sample of N Items Obtained at a Particular p^=X/n\hat { p } = X / n

Question 55

Multiple Choice

Consider a sample of n items obtained at a particular time, and let X be the number of defectives and p^=X/n\hat { p } = X / n Which of the following statements are not true?


A) E(X) = np
B) V(X) = p(1-p)
C) E(p^) =pE ( \hat { p } ) = p
D) V(p^) =p(1p) /nV ( \hat { p } ) = p ( 1 - p ) / n
E) If np10 and n(1p) 10,p^n p \geq 10 \text { and } n ( 1 - p ) \geq 10 , \hat { p }
Has approximately a normal distribution.

Correct Answer:

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