And as a side note, I found on Statista.com a breakdown of burglary rates per-state per-capita, and a second chart of percentage of gun ownership per-state. New Mexico, Oklahoma, and Arkansas all have 50% gun ownerships (meaning, about every other person owns at least one gun) and the worst rates of burglary and break-ins. New Jersey and New York have only 8% gun ownership (some of the lowest in the US) and are also both in the bottom ten of burglary rates.
This doesn’t prove that gun ownership prevents break ins (the idea being that a criminal will be less likely to break into a house if he knows that people generally own guns) but it certainly adds a nail or two to the coffin of that theory.