MULTIPLY QUESTION Which matters more about a sample you draw

MULTIPLY QUESTION

Which matters more about a sample you draw from a population?

Choose the condition below that is more important when choosing a sample from a population.

A. The fraction of the population you have sampled.

B. The size of the sample.

AND explain why??

Solution

The sample size is more important in this case for drawing a sample from a population. This is because as the sample size increases the sample tends towards the population and we could get a better inference about the population. On the other hand the fraction of the population sampled is not much of interest as it only deals with the sampling fluctuations which decreases as the sample size increases.