Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.
-95% confidence; the sample size is 6100, of which 40% are successes
A) 0.00923
B) 0.0141
C) 0.0123
D) 0.0162

Question

Quizplus · Accepted Answer

The margin of error E is calculated using the formula E = Z * sqrt[(p(1-p))/n], where Z is the Z-score for the confidence level (1.96 for 95%), p is the sample proportion (0.40), and n is the sample size (6100). Plugging in these values gives E ≈ 0.0123.

Assume That a Sample Is Used to Estimate a Population