Baptism publically symbolizes your dedication to God. It symbolizes dying to one’s former way of life and becoming alive to do God’s will. (1 Peter 4:2) So questions concerning whether babies or infants should be baptized on the basis of the faith of the parents are very valid since the child is nowhere near old enough to make a proper and informed decision in this matter.
For a Biblical precedent, in Acts it says that the ones who were baptized then were “men and women”... not infants. (Acts 8:12) Baptism was for those capable of ‘hearing the word,’ ‘embracing the word heartily,’ and ‘repenting’, something infants are not capable of doing. (Acts 2:14, 22, 38, 41)
Additionally, the Bible indicates that God considers holy the young children of Christian parents. (1 Corinthians 7:14) Such a statement would be pointless if the baptism of infants were necessary for their salvation.
For more, see:
Baptism - Link to Information (Defend Jehovah's Witnesses)