Final answer:
The defender of the Argument from Common Sense and Anecdotal Evidence tries to establish the claim that there is a direct relationship between the death penalty and deterrence. On the other hand, the proponent of the Best Bet Argument does not attempt to establish this claim.
Step-by-step explanation:
The claim that the defender of the Argument from Common Sense and Anecdotal Evidence tries to establish is that there is a direct relationship between the death penalty and deterrence. They argue that the existence and usage of the death penalty serves as a deterrent to potential criminals, preventing them from committing serious crimes due to fear of facing capital punishment. On the other hand, the proponent of the Best Bet Argument does not attempt to establish this claim; instead, they focus on the cost-effectiveness of the death penalty compared to other forms of punishment.