Final answer:
A CPCT should provide reassurance, engage the patient in conversation, use relaxation techniques, or thoroughly explain the venipuncture process to alleviate anxiety during the procedure.
Step-by-step explanation:
A Certified Patient Care Technician (CPCT) caring for a patient who experiences anxiety during venipuncture should recognize that providing reassurance and creating a calm environment are appropriate responses. The CPCT can engage in conversation with the patient to distract them, use relaxation techniques, or provide a detailed explanation of the procedure if the patient prefers. The goal is to reduce the patient's anxiety and make the venipuncture process as comfortable as possible.