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.
-99% confidence; n = 5900, x = 1770
A) 0.0117
B) 0.0135
C) 0.0154
D) 0.00878

Question

Quizplus · Accepted Answer

The margin of error formula is E = z*sqrt(p*(1-p)/n), where z corresponds to the level of confidence. For a 99% confidence level, z is 2.576. Plugging in the given values, we get E = 2.576*sqrt((1770/5900)*(4130/5900)/5900) = 0.0154 (rounded to four decimal places). Therefore, the best choice is C.

Assume That a Sample Is Used to Estimate a Population