I see what you are saying but it still doesn't explain why they say Jehovah intervenes for some things and yet when it comes to sickness/accidents that he stays completely out of it.
My point was that this is a contradiction that comes forth from an attempt (this happens in most religions) to take credit for good things while avoiding responsibility for bad things. This is not unique to JWs. There is scriptural basis for thinking that you may be tested to the point of death (i.e. no intervention from god) and there is scriptural basis for thinking that god might help you out. When you're a believer your cognition is based upon the assumption that god is good and worth serving, and when you enter that into the equation it doesn't take much for the believer to start fitting their life experience into the framework that's given to them. Anything good that they're surprised by, they attribute to god and are grateful. Anything that's bad gets attributed to bad luck, satan or whatever and they're unhappy. God doesn't have to do anything.