Question

1.a All maximal likelihood are asymptotically normal
T
F
b. Let X_1, X_n be i.i.d. Bernoulli random variables with some unknown parameter . Then which of the following is/are valid confidence interval(s) for with nonasymptotic confidence level 95%?
(Choose all that apply.)
a) Xn-1.96 sqrt(p(1-p)/n)+1.96sqrt(p(1-p)/n)
b) (0,1)
c) [0, Xn]+.83/n
d) none

Answer 1

1. True
2. Option A
3. a,b