Explain the racial imbalance associated with capital punishment.

I am taking constitutional law and need a research paper on capital punishment. Below is a rough outline of how I would like the paper to be organized. Please feel free to add to this if need be.

Intro: Define Capital Punishment and its purpose
a.) how much does it cost as apposed to life without parole? Is it too costly?
b.) Does it do what it claims to do?
c.) Is it cruel and unusual punishment ?
d.) Explain the racial imbalance associated with capital punishment
e.) Length of time / Do innocent people fall victim to capital punishment? use examples
Give statistics on how many people agree and disagree with Capital punishment and their main argument points.
I am undecided on my stance on Capital punishment.

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