Answer
Since the ball's change in momentum is equal to the impulse exerted by the bat, maximizing the time of contact between the bat and the ball will help to increase the chance of hitting a home run.
Work Step by Step
If the bat is in contact with the ball for a longer period of time, the force from the bat is exerted on the ball for a longer period of time. Then the impulse exerted by the bat on the ball will be greater. Since the ball's change in momentum is equal to the impulse exerted by the bat, maximizing the time of contact between the bat and the ball will help to increase the chance of hitting a home run.