A polling organization conducts a poll by making a random survey and is willing to accept a margin of error of 3.5% at a confidence level of 95%. What should the sample size be?
A)350
B)763
C)817
D)1023

Question

Quizplus · Accepted Answer

To calculate the sample size, we can use the formula:
n = (Z^2 * p * q) / E^2
where:
Z = 1.96 (for a 95% confidence level)
p = q = 0.5 (using this will give us the maximum sample size)
E = 0.035 (for a margin of error of 3.5%)

Plugging in these values, we get:
n = (1.96^2 * 0.5 * 0.5) / 0.035^2
n = 817.07

Since we can't have a fraction of a person, we round up to the nearest whole number, giving us a sample size of 817. Therefore, the best choice is C)817.

A Polling Organization Conducts a Poll by Making a Random