. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth-grade level. In an earlier study, the population proportion was estimated to be 0.23. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth-grade level at the 98% confidence level with an error of at most 0.02? Round your answer up to the next integer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth-grade level. In an earlier study, the population proportion was estimated to be 0.23.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth-grade level at the 98% confidence level with an error of at most 0.02? Round your answer up to the next integer.

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