Final answer:
The statement is false because a smaller gauge number, indicating a thicker needle, is associated with a reduced likelihood of hemolysis during venipuncture.
Step-by-step explanation:
The assertion that 'the smaller the gauge of the venipuncture needle, the less likely it is that hemolysis of blood cells will occur' is false. In medical terminology, the gauge of a needle refers to its thickness, with a smaller gauge number indicating a thicker needle. For venipuncture, a thicker needle can facilitate a smoother and quicker blood draw, thus reducing the likelihood of hemolysis, which is the rupture or destruction of red blood cells. Thinner needles, which correspond to higher gauge numbers, pose a higher risk for hemolysis as the blood cells can be damaged while being forced through the narrow lumen of the needle.