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Answer the following questions accordingly. Thanks in advance!

Answer the following questions accordingly. Thanks in advance!

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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Answer the following questions accordingly. Thanks in advance!
A problem with polling is whether or not people are willing to answer honestly. If a question might be viewed as shameful or embarrassing (about politics, sexual activity, etc.), they may be reluctant to answer honestly. A potential solution to this is the following: let's suppose that YES' is the embarrassing or socially shameful answer. Give the people you are polling the following instructions: flip a coin privately, and if it comes up heads, you must answer honestly. However, if it comes up tails, you must answer 'YES’ regardless of what the truth is. This gives people л plausible deniability about why they answered yes, if pressed. Again, let PN be the fraction of people who said 'YES’. Let p be the probability that a randomly selected person says YES’. Let q be the probability that a person's true answer is 'YES'. Note л again, we have that the expected value of p,, is p, but we are actually interested in N measuring q.
Transcribed Image Text:A problem with polling is whether or not people are willing to answer honestly. If a question might be viewed as shameful or embarrassing (about politics, sexual activity, etc.), they may be reluctant to answer honestly. A potential solution to this is the following: let's suppose that YES' is the embarrassing or socially shameful answer. Give the people you are polling the following instructions: flip a coin privately, and if it comes up heads, you must answer honestly. However, if it comes up tails, you must answer 'YES’ regardless of what the truth is. This gives people л plausible deniability about why they answered yes, if pressed. Again, let PN be the fraction of people who said 'YES’. Let p be the probability that a randomly selected person says YES’. Let q be the probability that a person's true answer is 'YES'. Note л again, we have that the expected value of p,, is p, but we are actually interested in N measuring q.
C) IfI want my estimate to be accurate, I want the error of q, to be small. How many N people should I poll to guarantee that the expected squared error on q, is less than E, when I don't know the value of q? D) How many people should I poll to guarantee the actual error of q, is less than E, N with 90% confidence, if I don't know q?
Transcribed Image Text:C) IfI want my estimate to be accurate, I want the error of q, to be small. How many N people should I poll to guarantee that the expected squared error on q, is less than E, when I don't know the value of q? D) How many people should I poll to guarantee the actual error of q, is less than E, N with 90% confidence, if I don't know q?
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