A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200
Students and finds that 118 of them are receiving financial aid. Use a 95% confidence interval to
Estimate the true proportion of students who receive financial aid.
A) $.59 \pm .002$
B). $59 \pm .068$
C) $59 \pm .474$
D) $.59 \pm .005$

Question

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200
Students and finds that 118 of them are receiving financial aid. Use a 95% confidence interval to
Estimate the true proportion of students who receive financial aid. 
A) $.59 \pm .002$
B). $59 \pm .068$
C) $59 \pm .474$
D) $.59 \pm .005$

Quizplus · Accepted Answer

The sample proportion is 118/200 = 0.59. The standard error for a proportion is calculated as $\sqrt{(p(1-p)/n)}$, where $p$ is the sample proportion and $n$ is the sample size. Using a 95% confidence interval, the margin of error is approximately 1.96 times the standard error. This results in a confidence interval of $0.59 \pm 0.068$.

A University Dean Is Interested in Determining the Proportion of Students