A population proportion is to be estimated. Estimate the minimum sample size needed to achieve the specified margin of error with a 95% degree of confidence.
-$E = 0.05$
A)200
B)800
C)400
D)20

Question

Quizplus · Accepted Answer

The minimum sample size can be calculated using the formula $ n = \left(\frac{Z \cdot \sigma}{E}\right)^2 $, where $ Z $ is the Z-score for 95% confidence (approximately 1.96), $ \sigma $ is the standard deviation of the population proportion (estimated as 0.5 for maximum variability), and $ E $ is the margin of error (0.05). Plugging in these values gives approximately 384, which rounds to 400.

A Population Proportion Is to Be Estimated E=0.05E = 0.05E=0.05 A)200 B)800 C)400 D)20

A Population Proportion Is to Be Estimated $E = 0.05$ A)200
B)800
C)400
D)20