Suppose we want to do a poll to see what is the percentage, p of voters that will support president candidate A over candidate B. Assume that whether a person will vote for candidate A over candidate B is a Bern

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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2. Suppose we want to do a poll to see what is the percentage, p of voters that will
support president candidate A over candidate B. Assume that whether a person will vote for
candidate A over candidate B is a Bernoulli trial, and the chance of a person voting for either
candidate is equal.

 

a) How many people do you need to poll so that the percentage p is within 2% from its true
value with 90% confidence? [Hint: The percentage p is the mean of the random variables
which represent a vote for candidate A over candidate B, and use central limit theorem.]
b) If you poll 400 people, how many must prefer candidate A to B so that the 90% confidence
interval is entirely above p=0.6?
Transcribed Image Text:a) How many people do you need to poll so that the percentage p is within 2% from its true value with 90% confidence? [Hint: The percentage p is the mean of the random variables which represent a vote for candidate A over candidate B, and use central limit theorem.] b) If you poll 400 people, how many must prefer candidate A to B so that the 90% confidence interval is entirely above p=0.6?
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