Solve the problem.
-A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should differ by no more than 5 percentage points in either direction from what would have been obtained by
Interviewing all voters in the United States." Find the sample size suggested by this statement.
A) 27
B) 664
C) 385
D) 544

Question

Quizplus · Accepted Answer

The statement refers to a 99% confidence level with a margin of error of 5%. Using the formula for sample size n = (Z^2 * p * (1-p)) / E^2, where Z is the Z-score for 99% confidence (approximately 2.576), p is the estimated proportion (0.5 for maximum variability), and E is the margin of error (0.05), the calculation results in a sample size of approximately 664.

Solve the Problem. -A Newspaper Article About the Results of a Poll States