Final answer:
A phlebotomist should perform a venipuncture using an evacuated needle holder and blood collection tubes to collect blood from a patient.
Step-by-step explanation:
A phlebotomist using an evacuated needle holder and blood collection tubes should perform a venipuncture, which involves inserting a needle into a surface vein in the arm to collect blood. The evacuated needle holder creates a vacuum in the tube, allowing the blood to be drawn into the tube. This method is used to collect larger amounts of blood for analysis or transfusions. After the blood is collected, it may be analyzed in a medical laboratory or used for various purposes, such as donations or research.