r ation factor can Bu random sampling, sam size (or sizes correction than imple

Question

r ation factor can Bu random sampling, sam size (or sizes correction than imple sample Sami be in elaborate way, with specified d chosen much the same interval equals varia so that the width of the confidenc of population eak point in the system is usually the estimate SIZE FOR ESTIMATING A POPULATION TOTAL imating the population total r, the equation to be solved for n is N (N -n) gives the necessary sample size as d2/N2 202 no 1/N 1/N d2 ing the finite-population correction formula samf factor. the for aspect of sample size formulas that they opulation variancel generally such as these is one which is unknown. In practice,

Explanation / Answer

Answer:

Let us consider the formula for margin of error E where Z is the critical value at the given level of significance, is the population standard deviation and n is the sample size. We have to derive the formula for sample size.

The formula for margin of error is given as below:

E = Z*/sqrt(n)

E*sqrt(n) = Z*

Sqrt(n) = Z* / E

So, squaring both sides, n = (Z*/E)2 = Z22/E2

Now, considering the finite population correction factor, formula becomes as below:

Sample size = n0 = N2Z22/E2

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