Final answer:
The false statement in the list provided is that 'The sympathetic nervous system stimulates salivation and secretions of the gastric and intestinal glands.' This statement is incorrect as the sympathetic nervous system actually suppresses these functions.
Step-by-step explanation:
The statement that is false concerning the digestive system is 'a. The sympathetic nervous system stimulates salivation and secretions of the gastric and intestinal glands.' The sympathetic nervous system actually inhibits salivation and decreases the secretory activity of the digestive system as part of the fight-or-flight response, while the
parasympathetic nervous system enhances these secretory activities during the rest-and-digest response. On the other hand, the esophagus indeed does not produce digestive enzymes, the lesser omentum connects the stomach to the liver, stomach motility is decreased by CCK and increased by gastrin and parasympathetic nerves, and most absorption does occur in the small intestines, with some substances like alcohol being absorbed in the stomach.