I'd like to point out that in response to this "new information" you had a variety of options:
1) Ignore it and dismiss it wholesale
2) Assimilate portions of the new information
3) Accept it and adopt it wholesale
4) Do more than one of of the above
And from there, the changes to your worldview could be anything from:
1) Stalwartly maintaining your previous worldview
2) Making limited adjustments to your current worldview to shift to a somewhat revised worldview
3) Throwing out your previous worldview entirely and starting from scratch
4) Do more than one of the above
Do you feel these options did not exist?
Sure, these options exist, but that has no real relevance to whether or not the beliefs that result from those choices lead to a "choosing" of beliefs. Again, I refer you back to my chess analogy (which even I'm getting sick of at this point...): when your turn comes, you can make a variety of moves based on countless options in your head. For example, you could:
1) Make a move which will result in, or ultimately aid, winning in the game.
2) Make a move which will result in, or ultimately aid, losing in the game.
3) Make a move which has no significance in either winning or losing the game.
4) Make a move at random.
You can have a whole spectrum of motivations behind each and every one of these moves. Competitiveness, pride, apathy, boredom, impulsiveness, creativity, playfulness, humour, humility, kindness, politeness. These things all play a role in how we determine which move we make.
However, none of these decisions are the same as simply choosing to win or lose the game. The winning or losing is determined by the outcome of the moves, and that alone. You could play a game with every intention of losing, and yet still somehow end up winning. You could play a game at random and end up beating a chess grand master. Your choices factor into how you play the game,
but they ultimately do not factor in to how the game ends. Obviously, someone who goes into a game with the intention of winning will stand a far greater chance of winning than someone who is playing at random, but the decision to play to win does not equate to a decision
to win.
With beliefs, you can ignore new information - for whatever reason - or you can choose to accept and accommodate new information - for whatever reason. But these choices do no mean the same thing as "choosing to believe" or not. Ignoring information or accepting information may or may not be negligible factors in the beliefs that result, just as choosing to make a good move in chess or making a bad move in chess may or may not be negligible factors in winning the game. The beliefs, the things that we hold to be true as a result of our individual world views and experiences, are the result of this process. They are not in any way tied to the voluntary will we have, but are the end result of innumerable, largely subconscious, mental processes.