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During the Last Few Days Before a Presidential Election, There YY

Question 34

Essay

During the last few days before a presidential election, there is a frenzy of voting
intention surveys.On a given day, quite often there are conflicting results from three
major polls.
(a) Think of each of these polls as reporting the fraction of successes (1s) of a Bernoulli random variable YY , where the probability of success is Pr(Y=1)=p\operatorname { Pr } ( Y = 1 ) = p . Let p^\hat { p } be the fraction of successes in the sample and assume that this estimator is normally distributed with a mean of pp and a variance of p(1p)n\frac { p ( 1 - p ) } { n } . Why are the results for all polls different, even though they are taken on the same day?

Correct Answer:

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n = 10,000.
19
Mathe...

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