During an infield choice, the at-bat is counted and the hitter is not given a hit, nor does it increase their On-Base Percentage.
A fielder's choice in baseball is scored when a fielder chooses to make a play on a baserunner instead of the batter, resulting in an out. The batter is not credited with a hit, but reaches base safely due to the fielder's decision.
No.
at bat (atbat)
yes it's an at bat
Yes you are. You can even if you have two strikes on you
That would be considered a fielder's choice. Answers.com defines a fielder's choice as: "A play made on a ground ball in which the fielder chooses to put out an advancing base runner, thus allowing the batter to reach first base safely." Even though, in your question, the runner was not put out at home the play would be scored a fielder's choice and the batter would be credited with an RBI.
For the play you describe, it would be a hit. A fielder's choice is when a fielder chooses to throw to another base instead of 1st base to retire the batter. I doubt the center fielder had a chance to throw out the batter at 1st base.
No, the batter is not out. The runner could be out though. For example in Little League if the runner touches the ball before it goes by a fielder, the runner is out. (The pitcher does not count as a fielder for the purpose of the rule) The runner is not out if he/she is touching a base.
No. It is considered interferrence by the fielder and the batter is awarded a hit.
Right Fielder, Center Fielder, and Left Fielder.
Cecil Fielder
His song in the 2011 season was "Let it rock" by Kevin Rudolf. He may change it for the 2012 season but hopefully not!