i) If Ho is rejected when Σ2₁X₁ ≤ 6. then what is the probability of type I error?

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 44CR
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1b.STATISTICAL INFERENCE

1) Let X₁, X₂, ..., X20 be a random sample from a population X with density
(0*(1 − 0)¹−*, x = 0,1.
otherwise
where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against
H₁: p < 1/
i) If Ho is rejected when 2₁ X₁ ≤ 6. then what is the probability of type I error?
f(x;0) = {0* (1-
Transcribed Image Text:1) Let X₁, X₂, ..., X20 be a random sample from a population X with density (0*(1 − 0)¹−*, x = 0,1. otherwise where 0 < 0 ≤ is a parameter. The hypothesis Ho: 0 = to be tested against H₁: p < 1/ i) If Ho is rejected when 2₁ X₁ ≤ 6. then what is the probability of type I error? f(x;0) = {0* (1-
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