How's the economy? A pollster wants to construct a 95% confidence interval for the proportion of adults who believe that economic conditions are getting better. a. A Gallup poll estimates this proportion to be 0.34. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03? b. Estimate the sample size needed if no estimate of "p" is available.

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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How's the economy? A pollster wants to construct a 95% confidence interval for the proportion of adults who believe that economic conditions are getting better.

a. A Gallup poll estimates this proportion to be 0.34. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03?

b. Estimate the sample size needed if no estimate of "p" is available.

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