Question

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?

The northern Georgia study with a margin of error of 2.5%.
The southern Georgia study with a margin of error of 2.5%.
The northern Georgia study with a margin of error of 1.7%.
The southern Georgia study with a margin of error of 1.7%.

Answer 1

The northern Georgia study with a margin of error of 1.7%.

All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)

Explanation:

The best and most correct answer among the choices provided by the question is the third choice "The northern Georgia study with a margin of error of 1.7%."

All else being equal, the study with the larger sample size has the smaller margin of error. So the result makes sense (as 0.84 is pretty close to 0.75)