Yes
It does not count as an at bat
Yes, the batter is credited with an at-bat and scored as a fielders choice.
Yes
Yes Any event after a player appears at the plate -- even being hit by the pitcher on the first pitch -- is counted as a plate appearance.
Yes. If in the Official Scorer's opinion, the batter would have been out at first base had the fielder chosen to make that play then the play is scored as a fielder's choice. The batter reaches first base safely, but is not credited with a hit and is charged with an at-bat. He's officially 0 for 1 on that play.
yes it's an at bat
Yes, the batter would have been out if it were not for the error.
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 is just like an out and lower's a player's batting average since the fielder chose to put out another player instead, usually the lead runner... On the other hand, a sacrifice does not count against the batter because his intention was to advance the runner at his own expense.
Any type of sacrifice, walk, or hit by pitch does not count as an at bat.
A "sac".Corrected answer:This depends on the outcome of the at bat:***if the bunt successfully advances another baserunner to the next base and the batter is out at 1st then it is a "Sac Bunt" -- no official at-bat***if the bunt does not successfully advance the other baserunners then you score it as an out using the fielding numbers to idicate who is credited with the put out -- this is a fielders choice, the at-bat would count, no hit given***if nobody is on base and you reach successfully to first base then you are credited with a single
The fielder made a decision to throw the batter out at first instead of throwing the runner out at home. This is considered a fielders choice.