C) IfI want my estimate to be accurate, I want the error of p,, to be small. N Approximately, how many people should I poll to guarantee the expected squared A error on p„ is less than E ? N D) If I don’t know p, how many people should I poll to guarantee the expected л squared error on p,, is less than E ? N

A First Course in Probability (10th Edition)
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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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Answer the following questions accordingly. Take your time. Thanks in advance!
л
C) If I want my estimate to be accurate, I want the error of p, to be small.
N
Approximately, how many people should I poll to guarantee the expected squared
error on p , is less than E ?
N
D) If I don't know p, how many people should I poll to guarantee the expected
squared error on p, is less than E ?
N
Transcribed Image Text:л C) If I want my estimate to be accurate, I want the error of p, to be small. N Approximately, how many people should I poll to guarantee the expected squared error on p , is less than E ? N D) If I don't know p, how many people should I poll to guarantee the expected squared error on p, is less than E ? N
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 p„ 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 p„ be the number of people polled who supported the policy, divided by the total number of people polled N.
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