To determine the extent of tax fraud, the Internal Revenue Service audited the current year tax returns of a random set of 1000 individuals. Even though only 10% of the individuals in the group were self-employed (other 90% were working professionals), they accounted for 50% of the fraudulent cases.
Pre-thinkingse = 100
Professional =900
assume that total fraudulent case = 100
then 50 fraudulent cases belong to s.e. & honest cases = 50
Now we can't draw ratio proposition of total money lost by IRS from no. of cases. lets say per s.e cases lost 100 rs.
so 50*100 = 5000 and by professional fraudulent cases = 50*(>100) then majority of money lost is due to Professional fraudulent cases not because of S.E cases.
It depends upon the income of the particular group.Also this is a very small sample.
For the group above, which of the following would be most useful in assessing whether tax fraud by self-employed individuals may be responsible for majority of the money that the IRS loses every year?
1. The trend of average income of self-employed individuals over the past few years compared to that of the rest of the group.
Past trend doesn't matter. If statement were : average income of self-employed individuals compared to that of the rest of the group in the current FY.
2. The difference between average annual taxes paid by
a self-employed individual and
a working professional.I don't understand which "self employed indidiual" and which " working individual"
I guess, it would have made sense, if it is written as : The difference between average annual taxes paid by all self-employed individuals and all working professionals
3. The average tax fraud committed by a self-employed individual versus a working professional.
average tax fraud will give you =
Income*tax/total no. of cases that mean we can find out Income*tax or lost money through Fraudulent cases. 4. The diversity of demographics represented in the group versus that of the nation.
Demographics won't help. Although we will get characteristics of entire population vs sample we had taken. 5. The number of women in the group who were working professionals versus self-employed.
The comparison is between profess. & self employed not between women prof. vs self employed.