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Consider a sample of i.i.d. random variables X1,..., X, and assume their common density is given by fo(a) = exp (3) 1(220), wLikelihood Ratio Test You perform the Likelihood Ratio test for the same set of hypotheses: H: =1 and H7:0+1. Write down theDoes your test reject Hat the following asymptotic levels? (Choose all that apply.) reject H at asymptotic level 1% reject Ho

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162) 1 els 27/ 0 Hiio #1 Ho: 0 = 1 v 18 LR Tn = Boli mul se va е. la log Tm = ngon logs - 22 - log x = log e - 2 2 2 - 2 + lo::- inz ist ii te < loge =k ( + tite) <k (0.08).<k De < ki where to exek.. where c is such that . ceco P(x² <ol Ho : 0.= 1) =.leop (x? <c10=1) = 0.07 لو هل 007 = بدء ( ه )| ا 5007 - ه [( . م = (ا۔ 0 . 07 و م ا ا ا ا ن ا لوال والا لما لها لها .. | - ew value=el X 1. 3.8606-1 3-8606- 1 1 = PLN (091) 71.4303) = 0.076359 de 1% = 0.01% p- ralue = 0.076 kle accept Ho. 2 = 0.07 X

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