Find a 95% confidence interval for the true population proportion.
-In a survey of 415 adults, 59% said that they favored the proposed environmental laws.
A)56.5% to 61.5%
B)54.1% to 63.9%
C)59% to 63.9%
D)58.8% to 59.2%

Question

Quizplus · Accepted Answer

The confidence interval for a population proportion is calculated using the formula: p̂ ± Z * √(p̂(1-p̂)/n), where p̂ is the sample proportion, Z is the Z-score for the confidence level (1.96 for 95%), and n is the sample size. Here, p̂ = 0.59, n = 415, and the interval is approximately 54.1% to 63.9%.

Find a 95% Confidence Interval for the True Population Proportion