Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
-n = 85, x = 49; 98% confidence
A) 0.451

Question

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.
-n = 85, x = 49; 98% confidence
A) 0.451 < p < 0.701
B) 0.470 < p < 0.682
C) 0.450 < p < 0.702
D) 0.471 < p < 0.681

Quizplus · Accepted Answer

The sample proportion is p̂ = x/n = 49/85 = 0.576. The standard error of the proportion is sqrt(p̂(1-p̂)/n) = sqrt(0.576(1-0.576)/85) = 0.049. The 98% confidence interval is p̂ ± 2.326*0.049 = 0.576 ± 0.114 = (0.462, 0.690).

Use the Given Degree of Confidence and Sample Data to Construct