A national poll asked 1581 adults whether they were satisfied with their jobs, and 54% said they were. Estimate a 95% confidence interval for the actual percentage among all adults.
A) 53% to 55%
B) 52% to 56%
C) 51.5% to 56.5%
D) 50% to 58%

Question

Quizplus · Accepted Answer

The confidence interval is calculated using the formula for a proportion: p ± Z * sqrt(p(1-p)/n), where p is the sample proportion (0.54), Z is the Z-score for 95% confidence (approximately 1.96), and n is the sample size (1581). This calculation results in an interval of approximately 51.5% to 56.5%.

A National Poll Asked 1581 Adults Whether They Were Satisfied