9. Let X₁,..., X₁0 denote a random sample of size 10 of a Poisson distribution with mean 0. Show thatthe test that rejects H₁ : 0 = 0.1 in favour of H₁ : 0 = 0.5 if ΣX; ≥ 3 is most powerful. Determine,for this test, the significance level a and the power at 0 = 0.5.

Answered: 9. Let X₁,..., X10 denote a random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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9. Let X₁,..., X10 denote a random sample of size 10 of a Poisson distribution with mean 0. Show that the test that rejects H₁ : 0 = 0.1 in favour of H₁ : 0 = 0.5 if Σ1₁ X; ≥ 3 is most powerful. Determine, for this test, the significance level a and the power at 0 = 0.5.