According to the results of a survey, 39% of 213 people indicated that American football is their favorite sport. Assuming that the percentage remains the same, how many more people should be surveyed to have a margin of error of 4%? Round up to the nearest whole number, if necessary. In order to have a margin of error of 4%, you need to survey more people.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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According to the results of a survey, 39% of 213 people indicated that American football is their favorite sport. Assuming that the percentage remains the same,
how many more people should be surveyed to have a margin of error of 4%? Round up to the nearest whole number, if necessary.
In order to have a margin of error of 4%, you need to survey
more people.
Transcribed Image Text:According to the results of a survey, 39% of 213 people indicated that American football is their favorite sport. Assuming that the percentage remains the same, how many more people should be surveyed to have a margin of error of 4%? Round up to the nearest whole number, if necessary. In order to have a margin of error of 4%, you need to survey more people.
Expert Solution
Step 1

The formula for the sample size is as given below:

n=p1-pZα2E2

Here, zα/2 is the critical value at (1-α)% confidence level, p is the population proportion and E is the margin of error.

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