Dear certain Tetris piece,
Before I go on with the statistics I've found for crime rates in the Bronx, I just want to say you should still apply! There is no harm in applying for the job, whether or not you end up doing it. So, on to the answer. I don't know much about the Bronx myself (I do know that they have a unique accent up there, which is pretty cool, but means nothing in terms of safety). Neighborhood Scout, an organization that maintains relevant crime data for cities throughout the U.S. begins its page on the Bronx thusly:
The crime rate in Bronx is considerably higher than the national average across all communities in America from the largest to the smallest, although at 37 crimes per one thousand residents, it is not among the communities with the very highest crime rate. The chance of becoming a victim of either violent or property crime in Bronx is 1 in 27. Based on FBI crime data, Bronx is not one of the safest communities in America. Relative to New York, Bronx has a crime rate that is higher than 92% of the state's cities and towns of all sizes.
However, compared to other communities of similar population size, Bronx has a crime rate that is noticeably lower than the average. This means that for comparably sized cities all across America, Bronx is actually safer than most according to NeighborhoodScout's exclusive analysis of FBI crime data.
The site goes on to look specifically at violent versus property crimes. Apparently the rate of violent crimes is quite high; there is a 1 in 87 chance that a person will be the victim of a violent crime. Chances of being a victim of a property crime (theft and that kind of thing) is 1 in 40 (which is quite high). Overall, a person's chance of being a victim of either type of crime is 1 in 84, compared with 1 in 255 in New York in general. Sounds pretty bad, no? Well, obviously people do live in the Bronx and not all of them are murdered/murderers. If you go to the post by "SuperMario" here, you can find some good suggestions of safer areas to live in and general good advice.
So, now you can be more informed on what the crime is really like in the Bronx. Like I said, obviously there are people living in the Bronx who are living normal enough lives. If you end up being interviewed for the ADA position, perhaps you should asked your interviewer (or other employees, if you have the chance), what to expect in that neighborhood. If you move there, you'll want to hang on to your street smarts: don't stand out from the crowd, don't be overly friendly to strangers, make sure no one follows you if you take the same route every day to work, etc. If you could find someone you know to live with, that'd be even better, but since you are going to be commuting it isn't as big of a deal. Anyway, those are a few of my thoughts. Hopefully these resources can help you make an informed decision. Again, there is no harm in applying for the job now even if you don't end up working there. Your family has some legitimate concerns, but there is a lot you can control to keep yourself safe. Furthermore, there is always the risk of something bad happening, whether you live in the Bronx or in Provo; so while you should consider those crime statistics, don't let numbers alone make your decision.