Here's the stats:
Perhaps they should think about getting rid of some of the other sports first if they are so concerned about injury.
I've also included some other information here:
(See "Weight Lifting Injuries" 3/4 down)
Here's a reprint:
Weight Lifting Injuries
Rhea (2003) suggests there is no practical difference in injury rate between using free weights or machines in healthy adults.
Requa RK, DeAvilla LN, Garrick JG. (1993) Injuries in recreational adult fitness activities. Am J Sports Med, 21(3):461-7.
Injuries substained during weightlifting training and weightlifting competition are substantially lower than injuries incurred from other sports such as football, gymnastics, or basketball.
Stone MH (1990). Muscle conditioning and muscle injuries. Med Sci Sports Exerc. 22(4):457-462.
In college football players, time lost from injuries during weight training amounted to 1% of the time lost from injuries during football participation.
Zemper ED (1990). Four-year study of weight-room injuries in a national sample of college football teams. N atl Strength Cond Assoc J. 12(3):32-34.