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Let y1, ., Yn be a simple random sample of size n from UTM students. Assume that the population size is N. Suppose that y; equals 1 (if the participant is COVID-19 fully vaccinated) or 0 (if the participant is not COVID-19 fully vaccinated). Let p be the population proportion and q =1-p. Define p = -E1yi and âĝ = 1 – p. Some useful facts: E(y;) =p, V(y;) = pq. You may use any needed fact about expected value/variance from previous courses such as STA256H5 without proof. Also, well-known facts from STA304H5 maybe used directly without proof. Only describe what you are doing. If sampling is with replacement, find V (p). Show all steps. pây is unbiased estimator of п-1 If sampling is with replacement, show that V (f). Show all steps. If sampling is without replacement, find E(). Show all steps. Simplify bd your answer.

Let y1, ., Yn be a simple random sample of size n from UTM students. Assume that the population size is N. Suppose that y; equals 1 (if the participant is COVID-19 fully vaccinated) or 0 (if the participant is not COVID-19 fully vaccinated). Let p be the population proportion and q =1-p. Define p = -E1yi and âĝ = 1 – p. Some useful facts: E(y;) =p, V(y;) = pq. You may use any needed fact about expected value/variance from previous courses such as STA256H5 without proof. Also, well-known facts from STA304H5 maybe used directly without proof. Only describe what you are doing. If sampling is with replacement, find V (p). Show all steps. pây is unbiased estimator of п-1 If sampling is with replacement, show that V (f). Show all steps. If sampling is without replacement, find E(). Show all steps. Simplify bd your answer.

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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Let y1, .., Yn be a simple random sample of size n from UTM students. Assume that the population size is N. Suppose that y; equals 1 (if the participant is COVID-19 fully vaccinated) or 0 (if the participant is not COVID-19 fully vaccinated). Let p be the population proportion and q = 1– p. Define p =-E{-1Yi and ĝ = 1 – p. Some useful facts: E(y:) = p, V(y;) = pg. You may use any needed fact about expected value/variance from previous courses such as STA256H5 without proof. Also, well-known facts from STA304H5 maybe used directly without proof. Only describe what you are doing. If sampling is with replacement, find V (p). Show all steps. If sampling is with replacement, show that is unbiased estimator of п-1 V (p). Show all steps. If sampling is without replacement, find E(). Show all steps. Simplify bd your answer.
Transcribed Image Text:Let y1, .., Yn be a simple random sample of size n from UTM students. Assume that the population size is N. Suppose that y; equals 1 (if the participant is COVID-19 fully vaccinated) or 0 (if the participant is not COVID-19 fully vaccinated). Let p be the population proportion and q = 1– p. Define p =-E{-1Yi and ĝ = 1 – p. Some useful facts: E(y:) = p, V(y;) = pg. You may use any needed fact about expected value/variance from previous courses such as STA256H5 without proof. Also, well-known facts from STA304H5 maybe used directly without proof. Only describe what you are doing. If sampling is with replacement, find V (p). Show all steps. If sampling is with replacement, show that is unbiased estimator of п-1 V (p). Show all steps. If sampling is without replacement, find E(). Show all steps. Simplify bd your answer.
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