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A statistics graduate student conducted an experiment about graduate students who lived on campus. After taking a simple random sample of 65 students, she found that twelve students lived on campus. What is the standard error she calculated?

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Answer:

She calculated a standard error of 0.048.

Explanation:

A proportion p is the number of desired outcomes divided by the number of total outcomes.

The standard error of a proportion is given by:


SE_(p) = \sqrt{(p(1-p))/(n)}

In which n is the size of the sample.

In this problem, we have that:

Desired outcomes:

12 students living on campus

Total outcomes:

All the 65 students

Proportion:


p = (12)/(65) = 0.1846

Standard error of the proportion:


SE_(p) = \sqrt{(0.1846*0.8154)/(65)} = 0.048

User Ziad Akiki
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