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QUESTION 1 Let X₁, X2, ..., X20 be a random sample from a population X with density f(x; 0) = (0*(1-0)¹-x, x = 0,1. 0, otherwise there 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against If H, is rejected when X₁ ≤ 6. then what is the probability of type I error? If H, is rejected when Σ20₁ X₁ ≤ 6. then what is the probability of type I error?

QUESTION 1 Let X₁, X2, ..., X20 be a random sample from a population X with density f(x; 0) = (0*(1-0)¹-x, x = 0,1. 0, otherwise there 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against If H, is rejected when X₁ ≤ 6. then what is the probability of type I error? If H, is rejected when Σ20₁ X₁ ≤ 6. then what is the probability of type I error?

MATLAB: An Introduction with Applications
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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QUESTION 1 1) Let X₁, X2,...,X20 be a random sample from a population X with density (ox (1-0)¹-x, x = 0,1. 0, otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁:p</ i) If Ho is rejected when X₁ ≤ 6. then what is the probability of type I error? ii) If Ho is rejected when X₁ X₁ ≤ 6. then what is the probability of type I error? f(x; 0) = {0*(1-
Transcribed Image Text:QUESTION 1 1) Let X₁, X2,...,X20 be a random sample from a population X with density (ox (1-0)¹-x, x = 0,1. 0, otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁:p</ i) If Ho is rejected when X₁ ≤ 6. then what is the probability of type I error? ii) If Ho is rejected when X₁ X₁ ≤ 6. then what is the probability of type I error? f(x; 0) = {0*(1-
QUESTION 1 1) Let X₁, X2,...,X20 be a random sample from a population X with density (ox (1-0)¹-x, x = 0,1. 0, otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁:p</ i) If Ho is rejected when X₁ ≤ 6. then what is the probability of type I error? ii) If Ho is rejected when X₁ X₁ ≤ 6. then what is the probability of type I error? f(x; 0) = {0*(1-
Transcribed Image Text:QUESTION 1 1) Let X₁, X2,...,X20 be a random sample from a population X with density (ox (1-0)¹-x, x = 0,1. 0, otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁:p</ i) If Ho is rejected when X₁ ≤ 6. then what is the probability of type I error? ii) If Ho is rejected when X₁ X₁ ≤ 6. then what is the probability of type I error? f(x; 0) = {0*(1-
Expert Solution
Step 1

X~Ber(θ)

Farmula used

nCr=r!/(n!(n-r)!)

r!=r(r-1)x..3×2×1

 

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