Question

The impact on sampling of increasing the sample size is: There is no specific relationship between sample size and sampling error.

Answer 1

Using margin of error, it is found that increasing the sample size results in a smaller sampling error.

The equation for the margin of error is given by:

$M = c\frac{s}{\sqrt{n}}$

In which:

• c is the critical value according to the distribution used.

• s is the standard deviation, either of the sample or of the population.

• n is the sample size.

From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.

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