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 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...
icon
Related questions
Question
Construct an estimator ĝn from ÎN
so that the expected value of ĝn is q.
Transcribed Image Text:Construct an estimator ĝn from ÎN so that the expected value of ĝn is q.
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 p,
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 p, 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON