Upon written petition duly signed by fifteen percent (15%) of the producers affected by the assessment, the commissioner shall, in accordance with the procedure established in §§44-19-109 —44-19-112, conduct a referendum to determine whether the producers assent to a change of the assessment or to terminate the assessment. The producers shall be deemed to have assented to a change of the assessment or termination of assessment if a majority of those voting vote in favor of the change or termination.