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Example 8.17 (Public Opinion Polling) We would like to estimate the portion of people who plan to vote for Candidate A in an upcoming election. It is assumed that the number of voters is large, and e is the portion of voters who plan to vote for Candidate A. We define the random variable X as follows. A voter is chosen uniformly at random among all voters and we ask her/him: "Do you plan to vote for Candidate A?" If she/he says "yes," then X = 1, otherwise X = 0. Then, X - Bernoulli(@). Let X1. X2, X3, .., x, be a random sample from this distribution, which means that the X,'s are i.i.d. and X, ~ Bernoulli(0). In other words, we randomly select n voters (with replacement) and we ask each of them if they plan to vote for Candidate A. Find a (1 – a)100% confidence interval for 0 based on X,, X3, N3,... X„.

Example 8.17 (Public Opinion Polling) We would like to estimate the portion of people who plan to vote for Candidate A in an upcoming election. It is assumed that the number of voters is large, and e is the portion of voters who plan to vote for Candidate A. We define the random variable X as follows. A voter is chosen uniformly at random among all voters and we ask her/him: "Do you plan to vote for Candidate A?" If she/he says "yes," then X = 1, otherwise X = 0. Then, X - Bernoulli(@). Let X1. X2, X3, .., x, be a random sample from this distribution, which means that the X,'s are i.i.d. and X, ~ Bernoulli(0). In other words, we randomly select n voters (with replacement) and we ask each of them if they plan to vote for Candidate A. Find a (1 – a)100% confidence interval for 0 based on X,, X3, N3,... X„.

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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Example 8.17 (Public Opinion Polling) We would like to estimate the portion of people who plan to vote for Candidate A in an upcoming election. It is assumed that the number of voters is large, and 0 is the portion of voters who plan to vote for Candidate A. We define the random variable X as follows. A voter is chosen uniformly at random among all voters and we ask her/him: "Do you plan to vote for Candidate A?" If she/he says "yes," then X = 1, otherwise X = 0. Then, X ~ Bernoulli(0). Let X1, X3, X3, .. X, be a random sample from this distribution, which means that the X/'s are i.i.d. and X, ~ Bernoulli(0). In other words, we randomly select n voters (with replacement) and we ask each of them if they plan to vote for Candidate A. Find a (1 – a)100% confidence interval for 0 based on X, X3, X,. .... X„.
Transcribed Image Text:Example 8.17 (Public Opinion Polling) We would like to estimate the portion of people who plan to vote for Candidate A in an upcoming election. It is assumed that the number of voters is large, and 0 is the portion of voters who plan to vote for Candidate A. We define the random variable X as follows. A voter is chosen uniformly at random among all voters and we ask her/him: "Do you plan to vote for Candidate A?" If she/he says "yes," then X = 1, otherwise X = 0. Then, X ~ Bernoulli(0). Let X1, X3, X3, .. X, be a random sample from this distribution, which means that the X/'s are i.i.d. and X, ~ Bernoulli(0). In other words, we randomly select n voters (with replacement) and we ask each of them if they plan to vote for Candidate A. Find a (1 – a)100% confidence interval for 0 based on X, X3, X,. .... X„.
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