Determine if the 5 guide for cumbersome calculations can be

Determine if the 5% guide for cumbersome calculations can be applied? why?

an experiment drug is administered to 102 randomly selected individuals in a county that currently has 3205 residents, with the number of individuals responding favorably recorded.

Solution

The 5% guide is: If the sample size is less than equal to 5% of the total population and if the calculations are cumbersome then treat it as being independent.

Now, 5% of 3205=160.25 is greater than the sample size 100 and the calculation is cumbersome. So, use 5% guideline.