How large a sample is needed to estimate the true proportion of children under age 6 living in poverty in Utah within 3% with 99% confidence?

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
Section8.4: Geometric Sequences And Series
Problem 6SC
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A federal report indicated that 11% of children under age  6 live in poverty in Utah, an increase over previous years. How large a sample is needed to estimate the true proportion of children under age 6 living in poverty in Utah within 3% with 99% confidence? Round the intermediate calculations to three decimal places and round up your final answer to the next whole number.

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