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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

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)
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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C) If I want my estimate to be accurate, I want the error of \( \hat{p}_N \) to be small. Approximately, how many people should I poll to guarantee the expected squared error on \( \hat{p}_N \) is less than \( \epsilon \)? D) If I don’t know \( p \), how many people should I poll to guarantee the expected squared error on \( \hat{p}_N \) is less than \( \epsilon \)?
Transcribed Image Text:C) If I want my estimate to be accurate, I want the error of \( \hat{p}_N \) to be small. Approximately, how many people should I poll to guarantee the expected squared error on \( \hat{p}_N \) is less than \( \epsilon \)? D) If I don’t know \( p \), how many people should I poll to guarantee the expected squared error on \( \hat{p}_N \) is less than \( \epsilon \)?
To determine how many people support Policy X, a common polling method involves asking a number of people, denoted as \( N \), whether they support the policy. The fraction of respondents who say "yes" is used as an estimate of the probability that any individual supports the policy. Assume the probability that a person supports the policy is \( p \), although this value is unknown. Let \( \hat{p}_N \) represent the number of people polled who express support for the policy, divided by the total number of people polled, \( N \).
Transcribed Image Text:To determine how many people support Policy X, a common polling method involves asking a number of people, denoted as \( N \), whether they support the policy. The fraction of respondents who say "yes" is used as an estimate of the probability that any individual supports the policy. Assume the probability that a person supports the policy is \( p \), although this value is unknown. Let \( \hat{p}_N \) represent the number of people polled who express support for the policy, divided by the total number of people polled, \( N \).
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