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

Multiple Choice

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

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