I want my estimate to be accurate, I want the error of pN to be small. How many people should I poll to larantee the expected squared error on pN is less than e?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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If I want my estimate to be accurate, I want the error of pN to be small. How many people should I poll to
guarantee the erpected squared error on PN is less than e?
Transcribed Image Text:If I want my estimate to be accurate, I want the error of pN to be small. How many people should I poll to guarantee the erpected squared error on PN is less than e?
Suppose you want to find out how many people support Policy X. A standard polling approach is to just ask N
many people whether or not they support Policy X, and take the fraction of people who say yes as an estimate of
the probability that any one person supports the policy. Suppose that the probability someone supports the policy
is p, which you do not know. Let pn be the number of people polled who supported the policy, divided by the total
number of people polled N.
Transcribed Image Text:Suppose you want to find out how many people support Policy X. A standard polling approach is to just ask N many people whether or not they support Policy X, and take the fraction of people who say yes as an estimate of the probability that any one person supports the policy. Suppose that the probability someone supports the policy is p, which you do not know. Let pn be the number of people polled who supported the policy, divided by the total number of people polled N.
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