Just before a city referendum on a school budget, a local newspaper polls 450 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of 52% of the voters. What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportion p̂ less than 0.50 in favor of the referendum?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Just before a city referendum on a school budget, a local newspaper polls 450 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of 52% of the voters.

What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportion p̂ less than 0.50 in favor of the referendum?

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