Provide an appropriate response.
-A confidence interval was used to estimate the proportion of math majors that are female. A random sample of 72 math majors generated the following confidence interval: $( 0.438,0.642 )$. Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within $3 \%$ using $99 \%$ reliability?
A) 1831
B) 1842
C) 1916
D) 1769

Question

Quizplus · Accepted Answer

The sample size needed to estimate the true proportion to within 3% using 99% reliability is 1831. This can be calculated using the formula: n = (Z^2 * p * q) / e^2, where Z is the z-score for the desired confidence level (99% = 2.576), p is the estimated proportion (0.54), q is 1 - p (0.46), and e is the margin of error (0.03).

Provide an Appropriate Response (0.438,0.642)( 0.438,0.642 )(0.438,0.642) Using the Information Above, What Size Sample Would Be

Provide an Appropriate Response $( 0.438,0.642 )$ Using the Information Above, What Size Sample Would Be