A pollster wants to conduct a pre-election poll with a margin of error of 3.5% and a 95% confidence level. The pollster does not know ahead of time what the proportion in favor of either candidate is. How many people must be included in the sample to achieve the goal of a 3.5% margin of error? [Note that p -hat is unknown and is therefore assumed to be 0.5.]

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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1. A pollster wants to conduct a pre-election poll with a margin of error of 3.5% and a 95% confidence level. The pollster does not know ahead of time what the proportion in favor of either candidate is. How many people must be included in the sample to achieve the goal of a 3.5% margin of error? [Note that p -hat is unknown and is therefore assumed to be 0.5.]

2. In another pre-election poll, a pollster finds that 438 out of 600 people polled favor, Smith. Construct the 95% confidence interval for the proportion (to nearest 0.001) of people in the whole population who favor Smith.

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