It’s a tricky problem, statistically. The issue is that while gun ownership rates could plausibly be a cause of fatal crimes and accidents, it can also be a reaction to it, i.e. people purchase guns because they feel unsafe.
I’m not saying that the issue is intrinsically inscrutable. But it’s something that more requires a PhD-thesis-level treatment than a blog post to really add much insight, I think.
You were probably hoping for a clear, concise answer. The problem is that the issue of gun control really isn’t as cut-and-dry as many on both sides of the debate make it out to be.