Question

Explore the inverse relationship between sample size and margin of error and answer the question: Which of the following is the correct margin of error for the sample size of 480?(1 point)
Responses

0.05
0.05

0.04
0.04

0.002
0.002

0.004

Answer 1

Use the 95% margin-of-error formula for a proportion at maximum variability (p = 0.5):

MOE = z * sqrt[p(1 − p)/n] = 1.96 * sqrt(0.25/480)
= 1.96 * (0.5) / sqrt(480)
≈ 0.98 / 21.909 ≈ 0.0447 ≈ 0.045.

Rounded to the choices given, the correct margin of error is 0.04.