Assuming the capital gains are long-term and the dividends are qualified, no federal taxes would be owed in your example. The deductions offset ordinary income first.
What do you mean by ordinary income?
Assuming, in the example above, that the $11k was all long term gains, and that $1k of the dividends were qualified with $1k of non qualified divs and $2k of interest.
Surely there is some federal taxes owed since the total income of $15k is greater than the $12k of deductions, and make this for a single person, not a married couple.
I can see why I have needed a tax program this last 20 years