All persons within the jurisdiction of this state shall be entitled to full and equal accommodations, advantages, facilities and privileges of inns, hotels, motels, government housing, restaurants, eating houses, barber shops, billiard parlors, stores, public conveyances on land and water, theatres, motion picture houses, public educational institutions, in elevators, on escalators, in all methods of air transportation and all other places of public accommodation, amusement, and recreation, subject only to the conditions and limitations established by law and applicable alike to all citizens and to all citizens alike, with uniform prices. Rooming facilities at educational, religious, charitable or nonprofit institutions or organizations, and restrooms and locker room facilities in places of public accommodation may be separated according to sex.