Question

Which relationship between sample size and sampling error is correct? Question 36 options:

Answer 1

Answer: option B

Explanation: The sampling error also known as the marginal error is given mathematically as

Margin of error = critical value × (standard deviation/√n)

Where n = sample size

As we can see from this formulae, the only variable here is the margin of error and the sample size.

Hence margin of error = k/√n

Which implies that there is an inverse relationship between margin of error and sample size.

A large sample size gives a low margin of error while a small sample size gives a large margin of error.