3. The course website provided a sample size table; see near bottom. (https:// Y
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Question
3. The course website provided a sample size table; see near bottom. (https:// You need to provide this table to your boss and explain. Your boss is an administrator without much statistical training. Write up a summary report for your boss, including the following points: a) Your boss wants to know where this number came from (e.g., which formula and sample calculation. b) Why 0.5 was assumed/plugged. c Is this the most appropriate way? Alternative way? d) Why Ns are so different in this table? e) So what is your final suggestion/pick?Explanation / Answer
Answer to part a)
The formula used belongs to confidence interval formula of margin of error
We get to know the required sample size from it. Now this formula n = Z^2 * P * q / e^2 , is used when we have populations that are very large
but when the population is finite , then we multiply this formula by (N-n) / (N -1) . this term is called finite correction factor , here N = Population size and n = sample size.
We get the values N = 2000 and e = 0.04 from the example discussed in that page.
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Answer to part b)
The value 0.5 is plugged in for p , because there are two outcomes to a question asking for yes or no
Either it is yes or it is no , and both the outcomes are equally likely , which brings the chances of each one to occur is 0.5
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Answer to part c)
As stated in the article , this is just an approximation of sample size and not the precise way. But this way is chosen since this is the easiest way to find the sample size.
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Answer to part d)
The aim here in this table is to shown , how the population size affects the sample size. That is the reason why a variety of population sizes are used and there impact on the sample size is shown for three standard values of margin of error.
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Answer to part e)
Generally the sampling technique when studied theoretically , lets us select the sample size without being concerned about the population size. But here in this article we get to know that the sample size is dependent on the population size if the population is considered to be finite. The appropriate sample size for a finite population decreases as the population size N decreases.
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