Provide an appropriate response.
-A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national parks. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 5%
A) 664
B) 543
C) 1327
D) 13

Question

Quizplus · Accepted Answer

The sample size needed is given by the formula n = (Z^2 * p * q) / e^2, where Z is the z-score for the desired confidence level, p is the estimated proportion, q is 1 - p, and e is the margin of error. In this case, we have Z = 2.576 (for a 99% confidence level), p = 0.5 (since we have no prior information to suggest otherwise), q = 0.5, and e = 0.05. Plugging these values into the formula, we get n = (2.576^2 * 0.5 * 0.5) / 0.05^2 = 663.55. Rounding up to the nearest integer, we get a sample size of 664.

Provide an Appropriate Response