N.C. Gen. Stat. § 106-344

If the board of commissioners of any county should exercise their discretion and refuse to cooperate as set out in G.S. 106-343, then if a petition is presented to said board by one fifth of the qualified voters of the county requesting that an election be held as provided in G.S. 106-343 to determine the question of tuberculosis eradication in the county, the board of commissioners shall order said election to be held in the way provided in G.S. 106-343, and if a majority of the votes cast at such election shall be in favor of tuberculosis eradication, then said board shall cooperate with the State and federal governments as herein provided.