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State whether each of the following are either always true (T) or not always true (F)

State whether each of the following are either always true (T) or not always true (F) (a) If you have two estimators for a parameter θ, with B(A) > B(92) and V(h) > V(92), then θ2 is consistent and θι is not consistent. (b) If Xi ~ Bernoulli(p) for i-: 1, , 1000, then Y-Σ21X, is normally distributed. (c) If you fail to reject a two-sided hypothesis test at the level a, then you wil also fail to reject a one-sided hypothesis test (with the same null hypothesis) at the same level. (d) If the p-value associated with your hypothesis test is 0.34, that means there is a 34% chance that your null hypothesis is true.

a) Not always true - F

b) True - T by central limit theorem

c) Not always True - F

d) True- T

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