In a poll of n = 200 randomly selected individuals, 60 people said they are opposed to the death penalty for persons convicted of murder. Which choice correctly shows the calculation of the margin of error for a 95% confidence interval for the population proportion opposed to the death penalty?
A) $\sqrt{\frac{1}{60}}$
B) 2 × $\sqrt{\frac{0.60(1-0.60)}{200}}$
C) 2 × $\sqrt{\frac{0.30(1-0.30)}{200}}$
D) 2 × $\sqrt{\frac{0.30(1-0.30)}{60}}$

Question

Quizplus · Accepted Answer

The correct calculation for the margin of error at a 95% confidence level involves using the sample proportion (p = 60/200 = 0.30) and the sample size (n = 200). The formula is 2 × $\sqrt{\frac{p(1-p)}{n}}$, which matches choice C.

In a Poll of N = 200 Randomly Selected Individuals 160\sqrt{\frac{1}{60}}601​​

In a Poll of N = 200 Randomly Selected Individuals $\sqrt{\frac{1}{60}}$