Family of 4 (2 kids under 16) in 2020 taking standard deduction, no childcare expenses, no tax deferred savings.
FICA Payroll taxes paid
50k * .0765 = 3825
Tax Burden
50k - 24800 (Standard deduction MFJ) = 25600
25600 = $2676.90 in FIT taxes owed before credits
Child tax credit
$4000
EITC
~$750
Total Credits
$4750
Total Federal tax burden
-4750 + 3825 + 2677 = 1752/50000 = 3.5%
So not zero, but pretty darn close.