Are the following statements true or false? Explain. (a) In hypothesis testing, the type-ll error is the probability of not rejecting the null hypothesis when the alternative is true. (b) Suppose X has cdf F(x) and Y has cdf G(y) F(y -theta). If we have theta < 0, it means Y
Are the following statements true or false? Explain. (a) In hypothesis testing, the type-ll error is the probability of not rejecting the null hypothesis when the alternative is true. (b) Suppose X has cdf F(x) and Y has cdf G(y) F(y -theta). If we have theta < 0, it means Y
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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Transcribed Image Text:Are the following statements true or false?
Explain.
(a) In hypothesis testing, the type-Il error is
the probability of not rejecting the null
hypothesis when the alternative is true.
(b) Suppose X has cdf F(x) and Y has cdf G(y)
= F(y -theta). If we have theta < 0, it means Y
population is located at the left of X
population.
(c) Any marginal distribution of a multinomial
distribution is another multinomial
distribution.
(d) To test simple hypotheses, the Bayes factor
is the likelihood ratio.
(e) A few Poisson distributed random variables
with fixed sum can be considered to have a
multinomial distribution involving the
parameters of the poison distributions.
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