A statistics graduate student conducted an experiment about graduate students who lived on campus. After taking a simple random sample of 65

Question

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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Gianna 2 weeks 2021-11-18T13:41:36+00:00 1 Answer 0 views 0

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    2021-11-18T13:42:45+00:00

    Answer: The standard error (SE) is 0.048.

    Step-by-step explanation: The standard error is an error that occur by random chance. In a sample where only some of the population is “experimented”, the sample proportion estimates the population proportion.

    The formula to find the standard error is:

    SE = \sqrt{\frac{p(1-p)}{n} }, where p is the sample proportion and n is the total of the sample of the population.

    The sample proportion is

    p= \frac{12}{65} = 0.18

    So,

    SE = \sqrt{\frac{0.18(1-0.18)}{65} }

    SE = 0.048

    The standard error of this experiment is SE = 0.048

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