1) Let X₁, X₂,..., X20 be a random sample from a population X with density f(x; 0) = {0* (1 - 0)¹-*, x = 0,1. 0, otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁: p < 1/1/ i) If Ho is rejected when X₁ ≤ 6. then what is the probability of type I error? ii) If He is rejected when 20, X. ≤ 6. then what is the probability of type I error?
1) Let X₁, X₂,..., X20 be a random sample from a population X with density f(x; 0) = {0* (1 - 0)¹-*, x = 0,1. 0, otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁: p < 1/1/ i) If Ho is rejected when X₁ ≤ 6. then what is the probability of type I error? ii) If He is rejected when 20, X. ≤ 6. then what is the probability of type I error?
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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1.STATISTICAL INFERENCE
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Step 1
X~Ber(θ)
Farmula used
nCr=r!/(n!(n-r)!)
r!=r(r-1)x..3×2×1
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