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?

Answer choices:
- 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

I guess the answer would be :
- The northern Georgia study with a margin of error of 1.7%.

Answer 2

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)

I hope my answer has come to your help. God bless and have a nice day ahead!