However, 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, or whatever people are sensitive about), they may be reluctant to answer honestly. A potential solution to this is the following: 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 answer hoestly, but if it comes up tails answer 'YES’ regardless of what the truth is. This gives people plausible deniability about why they answered yes, if pressed. Again, let în be the fraction of people who said 'YES'. Let p be the probability that a randomly selected person says ʻyes'; let q be the probability that a person's true answer is ʻyes’. Note again, we have that the expected value of pn is p, but we are actually interested in measuring q.
However, 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, or whatever people are sensitive about), they may be reluctant to answer honestly. A potential solution to this is the following: 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 answer hoestly, but if it comes up tails answer 'YES’ regardless of what the truth is. This gives people plausible deniability about why they answered yes, if pressed. Again, let în be the fraction of people who said 'YES'. Let p be the probability that a randomly selected person says ʻyes'; let q be the probability that a person's true answer is ʻyes’. Note again, we have that the expected value of pn is p, but we are actually interested in measuring q.
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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