A previous random sample of 4000 U.S. citizens yielded 2250 who are in favor of gun control legislation. How many citizens would need to be sampled for a 99% confidence interval to estimate
The true proportion within 3%?
A)1814
B)1695
C)1916
D)1842

Question

Quizplus · Accepted Answer

The sample size needed for a 99% confidence interval with a margin of error of 3% is 1814. This can be calculated using the formula: n = (Z^2 * p * q) / e^2, where Z is the z-score for the desired confidence level (2.576 for 99%), p is the sample proportion (0.5625), q is the complement of p (1 - p = 0.4375), and e is the margin of error (0.03).

A Previous Random Sample of 4000 U