Prayers get "answered" all the time.
1) When praying people "look" for the answer. So if you pray about needing help about lonliness and you go look through a bunch of WT articles, then chances are you'll find one sooner or later. It need not even be that proactive. If you pray about something enough, eventually you'll stumble onto some advice about it and there you go, a coincidental answer to your prayer. Of if you're one of a billion people who prays for help living in this crazy world. What are the chances a JW knocks on your door that day, or that second? Not that great. But get a billion people giving it a billion chances, and you'll have a bunch of success stories of answered prayers.
2) Prayer helps people who think they need help focus their mind and go solve their own problems. Some people are paralyzed by the fear of having to get something done under stressful situations. If you believe the big man is backing you, its much easier to go out and do it.