Is the mechanic that worked on my truck responsible for the damage he caused?

Tomorrow I'm having a ford dealership service garage change the spark plugs on my 2005 Ford F-150 5.4L 3v v8. This engine is known for having spark plugs break while trying to remove them which causes a piece of the spark plug to get stuck in the cylinder. This poses a risk for damage to the head. If the mechanic who changes them causes damage (that will cost all my apendages) is he/she responsible? Will I have to pay for the work that needs to be done as a result of he/she failing to change them the proper way?

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