Let Y have a binomial distribution with parameters n and p. We rejectH0 : p = 12 and accept H1 : p > 12 if Y ≥ c. Find n and c to give a power functionγ(p) which is such that γ( 12) = 0.10 and γ( 23) = 0.95, approximately.

Let Y have a binomial distribution with parameters n and p. We rejectH0 : p = 12 and accept H1 : p > 12 if Y ≥ c. Find n and c to give a power functionγ(p) which is such that γ( 12) = 0.10 and γ( 23) = 0.95, approximately.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Let Y have a binomial distribution with parameters n and p. We reject
H0 : p = 1
2 and accept H1 : p > 1
2 if Y ≥ c. Find n and c to give a power function
γ(p) which is such that γ( 1
2) = 0.10 and γ( 2
3) = 0.95, approximately.

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