A campaign staffer would like to estimate the proportion of likely voters who will vote for a particular candidate in the upcoming election. To help with this estimate, the staffer surveyed a small group of likely voters and found that 52% of the sample supported the candidate. How large a sample should be selected such that the margin of error of the estimate for a 98% confidence interval is at most 4.2%. Round the solution up to the nearest whole number.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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A campaign staffer would like to estimate the proportion of likely voters who will vote for a particular candidate in the upcoming election. To help with this estimate, the staffer surveyed a small group of likely voters and found that 52% of the sample supported the candidate.

How large a sample should be selected such that the margin of error of the estimate for a 98% confidence interval is at most 4.2%. Round the solution up to the nearest whole number.

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