Any proposed statute which would establish an additional institution of higher education, except a public junior college, shall be submitted, either prior to introduction or by the standing committee considering the proposed statute, to the board for its opinion as to the state’s need for the institution. The board shall report its findings to the governor and the legislature. A recommendation that an additional institution is needed shall require the favorable vote of at least two-thirds of the members of the board. A recommendation of the board shall not be considered a condition precedent to the introduction or passage of any proposed statute.