I couldn't choose to believe in God anymore than I could choose to believe that the Earth is made of pudding.No Doctor, free will means you have a choice.
Some make bad choices in life. They have to pay the consequences. Example the free will to start smoking. However long term smokers have to pay the pied piper in the end.
You are free to choose if you want to believe in God or if you dont want to. What will be the consequence? To be determined. I say that because you have the right to change your mind right up to the very second you pass away.
The proof is in the pudding.