Find the sample size $n$ for a stratified sampling method

42 Views Asked by At

Let’s say we have a finite population $N=5000$.We have divided the population into 5 subgroups according to a risk characteristic “very low risk”,”low risk”,”medium risk”,”high risk” and “very high risk” according to how possible is not to pay taxes.

So we have stratification with $L = 5$ With subpopulations in each stratum $N_{L=1}=1000$,$N_{L=2}=1000$,$N_{L=3}=1000$,$N_{L=4}=1000$,$N_{L=5}=1000$

We are asked from this stratified design the sample size must contain $5\%$ of the very low risk level,$5\%,10\%,20\%$ and $20\%$ respectively for the other categories. Now the 60% of the sample will be according to this "risk weighted" How can someone determine the $n$ sample size from this allocation?