1. Hypothesis Testing and Confidence Intervals

Consider an idd Sample X1,...,Xn ~ Poiss (lambda) for lambda >0

Consider an i. i.d. Sample $1 . ...._In ~ Poiss [A] For ` _ 0 .` Starting from the Central Limit Theorem , find a confidence interval I =\\*,*& with asymptotic level 1 - & that is centered about * HEINE* the plug - in method . Write bark ni for {n . If applicable , type abs ( x ) for / { | . Philx) for $ ( I) _ PIE = [) where { ~N 10, 1 1 , and qralphal for an , the 1 - 0` quantile of a standard normal variable . !" I = [_A, B| for B -( 6 ) 2 puntos posibles [alificable* ) Consider the following hypothesis with a fixed number A = U : HO : A = do Us HI: `` do` DEFINE a test for the above hypotheses with asymptotic level " , and rewrite it in the following form ? with an interval J . J = |C", D for C = D =