MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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4) Let X have the p.m.f. 

f(x; θ) = θx(1 − θ)1−x, x = 0, 1

We test H0 : θ = 0.5 vs. Ha : θ < 0.5 by taking a random sample X1, X2, ..., Xn of size n = 5 and rejecting H0 if Y =Pni=1 Xiis observed to be less than or equal to a constant c

  1. a) Show that this is a uniformly most powerful test. 
  2. b) Find the significance level when c = 1. 

c) Find the significance level when c = 0. 

 

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