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Two studies were completed in Georgia. One study in northern Georgia involved 3,000 patients; 84% of them experienced flulike symptoms during the month of December. The other study, in southern Georgia, involved 2,000 patients; 75% of them experienced flulike symptoms during the same month. Which study has the smallest margin of error for a 99% confidence interval?

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The MoE for a 99% confidence interval in Northern Georgia is:
[tex]2.576 \sqrt{\frac{0.84(1-0.84)}{3000}}=0.017[/tex]
The MoE for a 99% confidence interval in Southern Georgia is:
[tex]2.576 \sqrt{\frac{0.75(1-0.75)}{2000}} =0.025[/tex]
Therefore the Northern Georgia study has the least margin of error.

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