count the basket or not

[scat03]

team A has a sob at half court with 4 seconds on the clock, i administer the ball to player out of bounds and she throws the ball in play and i start a silent count to myself. when i get to 4 seconds , iam waiting for the horn and no horn, i get to 6 sec , shot goes up and the horn goes off at my count of 7sec. and the shot goes in. coach of the opposing team is vey upset that the clock was not started properly. what authority does the official have on counting the shot or on the clock at that point.... this is what i did in that game.... we went over to the table and spoke to the clock operator and he said the he in fact made an error and started the clock late. my partner then erased the two points and ended the quarter. yes or no