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(Solved): (a) Consider testing the hypotheses H_(0):\lambda =0 versus H_(1):\lambda =1 at the 0.05 level of si ...
(a) Consider testing the hypotheses
H_(0):\lambda =0versus
H_(1):\lambda =1at the 0.05 level of significance using
Y=-lnxas the test statistic. Given:
P(Y<=y)={(0 if y<=0,),(1-e^(-y(\lambda +2)) if 0<=y<\infty .):}(i) Determine the critical value,
c, of the test that rejects
H_(0)if
y=-lnx<=c. What is the power of the test at
\lambda =1?
(3+4)