What is the Type I error probability of this test?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 7CR
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![What is the Type I error probability of this test?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9785629-ffab-4d04-8bc4-72a8c4c8a1bd%2Fb894dc8c-d1b8-40f6-b063-234e98679d8c%2Fhmq6qty_processed.png&w=3840&q=75)
Transcribed Image Text:What is the Type I error probability of this test?
![Suppose that we have an independent and identically distributed sample from some distribution
family G defined by an unknown parameter value 1. We are testing the hypotheses
H,:A = 1 versus Ha:A = 2.
Our test statistic is T, and let T have an Expo(1) distribution. The Expo(1) probability density
function (pdf) and cumulative distribution function (cdf), respectively, are
fr(t) = le-a for t >0
Fr(t) = 1- e-dt for t > 0
The rejection region for this hypothesis test is {T < 0.5}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9785629-ffab-4d04-8bc4-72a8c4c8a1bd%2Fb894dc8c-d1b8-40f6-b063-234e98679d8c%2Fyy33zhq_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that we have an independent and identically distributed sample from some distribution
family G defined by an unknown parameter value 1. We are testing the hypotheses
H,:A = 1 versus Ha:A = 2.
Our test statistic is T, and let T have an Expo(1) distribution. The Expo(1) probability density
function (pdf) and cumulative distribution function (cdf), respectively, are
fr(t) = le-a for t >0
Fr(t) = 1- e-dt for t > 0
The rejection region for this hypothesis test is {T < 0.5}.
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