An official at the emergency operations center of Martin County needs to estimate the proportion of county residents that the plan not to evacuate in the event of a hurricane. To help with this estimate the official surveyed a small group of county residents and found that 5% of the sample do not plan to evacuate in the event of a hurricane. How large a sample should be selected such that the margin of error of the estimate for a 90% confidence interval is at most 6%. 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
Section10.3: Measures Of Spread
Problem 1GP
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An official at the emergency
operations center of Martin County
needs to estimate the proportion of
county residents that the plan not to
evacuate in the event of a hurricane.
To help with this estimate the official
surveyed a small group of county
residents and found that 5% of the
sample do not plan to evacuate in the
event of a hurricane. How large a
sample should be selected such that
the margin of error of the estimate for
a 90% confidence interval is at most
6%. Round the solution up to the
nearest whole number.
Transcribed Image Text:An official at the emergency operations center of Martin County needs to estimate the proportion of county residents that the plan not to evacuate in the event of a hurricane. To help with this estimate the official surveyed a small group of county residents and found that 5% of the sample do not plan to evacuate in the event of a hurricane. How large a sample should be selected such that the margin of error of the estimate for a 90% confidence interval is at most 6%. Round the solution up to the nearest whole number.
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