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Tems11 [23]
3 years ago
14

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled?
Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:1866

Step-by-step explanation:

Given

n=200

x=118

Population proportion P=\frac{118}{200}=0.59

\alpha=0.005

Realiability =99%

Z_{\frac{\alpha }{2}}=2.576

Margin of erroe is given by \sqrt{\frac{p\left ( 1-p \right )}{N}}

0.03= \sqrt{\frac{0.59\left ( 1-0.59 \right )}{N}}

85.667=\sqrt{\frac{N}{0.6519}}[tex]N=1865.88[tex]\approx 1866 Students

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