According to the results of a survey, 48% of 422 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 2%? Round up to the nearest whole number, if necessary. Question: In order to have a margin of error of 2%, you need to survey how many more people

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According to the results of a survey, 48% of 422 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 2%? Round up to the nearest whole number, if necessary.

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In order to have a margin of error of 2%, you need to survey how many more people

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Step 1

We have given that

Margin of error (E) = 2% = 0.02

When confidence level is not given by default we take Confidence level (c) = 95% = 0.95

Significance level (α) = 1 - 0.95 = 0.05

 

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