In a survey conducted by CNN, 130 of the 250 people that were randomly surveyed have a savings account. (a) Construct a 90% confidence interval to estimate the true population proportion of people that have a savings account. (b) Suppose CNN is going to conduct this survey a second time. If we want our estimate to be within 3% of the true population proportion with 90% confidence, how many people do we need to sample?

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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In a survey conducted by CNN, 130 of the 250 people that were randomly surveyed have a savings account.

(a) Construct a 90% confidence interval to estimate the true population proportion of people that have a savings account.

(b) Suppose CNN is going to conduct this survey a second time. If we want our estimate to be within 3% of the true population proportion with 90% confidence, how many people do we need to sample?

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