In determining whether this article shall become inoperative, the secretary shall find that at least 40 percent of the total number of persons from the list established by the secretary participated in the referendum, and that either one of the following occurred:
(a) 65 percent or more of the persons who voted in the referendum voted in favor of this article, and the persons who voted paid a majority of the assessment dollars on grapes in the preceding marketing season that were paid by all the persons who voted in the referendum.
(b) A majority of the persons who voted in the referendum voted in favor of this article, and the persons who voted paid 65 percent or more of the assessment dollars on grapes in the preceding marketing season that were paid by all the persons who voted in the referendum.