In this section, we assumed that the sample size was less than 5% of the size of

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In this section, we assumed that the sample size was less than 5% of the size of the population. When sampling without replacement from a finite population in which n > 0.05N, the standard deviation of the distribution of pn is given by


where N is the size of the population. A survey is conducted at a college having an enrollment of 6502 students. The student council wants to estimate the percentage of students in favor of establishing a student union. In a random sample of 500 students, it was determined that 410 were in favor of establishing a student union.

(a) Obtain the sample proportion, , of students surveyed who favor establishing a student union.

(b) Calculate the standard deviation of the sampling distribution of  using  as an estimate of p.

Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Fundamentals Of Statistics

ISBN: 9780321844606

4th Edition

Authors: Michael Sullivan III

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