We have calculated a confidence interval based on a sample of size $n = 100 .$ Now we want to get a
Better estimate with a margin of error that is only one-fourth as large. How large does our new
Sample need to be?
A) 1600
B) 25
C) 400
D) 50
E) 200

Question

Quizplus · Accepted Answer

To reduce the margin of error to one-fourth, the sample size must be increased by a factor of 16 (since the margin of error is inversely proportional to the square root of the sample size). Therefore, the new sample size should be $100 \times 16 = 1600$.

We Have Calculated a Confidence Interval Based on a Sample n=100.n = 100 .n=100.

We Have Calculated a Confidence Interval Based on a Sample $n = 100 .$