A random sample of 1001 Americans aged 18-24 years showed that 51% believe their health is extremely important. An approximate 95% confidence interval for the proportion of all 18-24 year olds who believe that their health is extremely important is
A) between 41% and 61%.
B) between 46% and 56%.
C) between 48% and 54%.
D) between 50% and 52%.

Question

Quizplus · Accepted Answer

The 95% confidence interval for a proportion is calculated using the formula: p ± Z * sqrt(p(1-p)/n), where p is the sample proportion, Z is the Z-score for 95% confidence (approximately 1.96), and n is the sample size. For p = 0.51 and n = 1001, the interval is approximately between 48% and 54%.

A Random Sample of 1001 Americans Aged 18-24 Years Showed