The speed of sound is about 350 m/s (about 400 yards/second). If you are 400 yards away from the batter, then it could take about 1 second for the sound to reach you in the more distant stands. Light takes less than one millionth of a second to travel the same distance.
On TV, it depends on how far away the microphone is from the batter as to how noticeable the delay is. They usually have their microphones fairly close to the field and batter so you don't notice the delay as much on TV.
Source: wikipedia
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It depends on how fast sound travels. It takes a certain amount of time for the sound to come off the bat and into your ears.
Light travels MUCH faster then sound.
Think of how you hear thunder long after you see the lighting.