Final answer:
Strong mathematical skills for data analysis are not a required cognitive skill for nonphysician allied health care professionals to administer clinical tests. Critical thinking, knowledge of human anatomy and physiology, and communication skills are essential.
Step-by-step explanation:
The cognitive skill that is not required for a nonphysician allied health care professional to administer clinical tests is Strong mathematical skills for data analysis (Option C). While mathematical skills are important in some healthcare roles, they are not a fundamental requirement for the administration of all clinical tests, depending on the specific role and the test being administered.
Critical thinking and problem-solving abilities (Option A), knowledge of human anatomy and physiology (Option B), and effective communication and interpersonal skills (Option D) are essential cognitive skills that allied health professionals must possess. These skills are necessary for interpreting test results accurately, understanding the context of the patient's condition, and communicating findings to other healthcare team members and patients effectively.