A polling organization conducts a poll by making a random survey of 2500 people. Estimate the margin of error at a confidence interval of 95%.
A)1.5%
B)2.0%
C)2.5%
D)3.0%

Question

Quizplus · Accepted Answer

The margin of error (MOE) for a sample proportion in a simple random sample is calculated using the formula MOE = Z * sqrt(p(1-p)/n), where Z is the Z-score corresponding to the desired confidence level (1.96 for 95%), p is the sample proportion (assumed to be 0.5 for maximum variability), and n is the sample size. Plugging in the values: MOE = 1.96 * sqrt(0.5*0.5/2500) = 0.0196 or approximately 2.0%.

A Polling Organization Conducts a Poll by Making a Random