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 expected squared error on PN is less than e?

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
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 expected 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 expected 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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar 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