Suppose a simple random sample of 200 university of Illinois students and a simp

Question

Suppose a simple random sample of 200 university of Illinois students and a simple random sample of 400 SIU students. SIU has about 2/3 of the number of students that the University of Illinois has. Which sample is more accurate (for determining the percentage of female students) or are the accuracies about the same? Explain. Suppose a simple random sample of 200 university of Illinois students and a simple random sample of 400 SIU students. SIU has about 2/3 of the number of students that the University of Illinois has. Which sample is more accurate (for determining the percentage of female students) or are the accuracies about the same? Explain.

Explanation / Answer

sample of SIU is more accurate as it contains larger proportion of population in comparison to Illonois students,

therefore it must have smaller variabilty from population and hence will predict more accurate result

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