I can think of one off-hand. You would have to believe that the U.S. Navy is so God-awful stupid that it would conduct live fire exercises by shooting into one of the most densely travelled air corridors in the world. They really aren't that dumb.
I would have thought so, until someone pointed out the following to me:
1. Some of the testing that is done for weapons with advanced electronic systems MUST be done close to populated areas -- to ensure that the electronics will work despite interference from background "noise" from non-military communication systems (mobile phones, radio communications, etc.).
2. If the civilian aircraft in that area are usually flying at altitudes above 30,000 feet, is the eastern end of Long Island any less safe than any other place in U.S. territorial waters when it comes to this sort of danger? I mean -- at any given time of day there could be aircraft flying at that altitude over almost any spot on the globe.