Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p
-Margin of error: 0.04; confidence level: 99%; from a prior study, ^p is estimated by 0.08
A)306
B)12
C)177
D)367

Question

Quizplus · Accepted Answer

The sample size needed to achieve the desired margin of error and confidence level can be calculated using the formula: n = (Z^2 * p * q) / e^2, where Z is the z-score corresponding to the desired confidence level, p is the estimated population proportion, q is 1 - p, and e is the margin of error. Plugging in the given values, we get: n = (2.576^2 * 0.08 * 0.92) / 0.04^2 = 306.

Use the Given Degree of Confidence and Sample Data to Construct