There is more than one reason for asking this question. First, the interviewer wants to know what qualities you think are important to perform this job. Second, and most importantly, your answer will tell the interviewer if you hold yourself to the same standard as you do others. If you want to see certain characteristics in your peers, you should be able to tell the interviewer with confidence that you possess those traits, as well. This question is one that interviewers often use to distinguish sincerity on the part of the candidate.
"I believe that honesty is important no matter what job title a person holds. I have found that being honest with people creates an atmosphere of mutual trust and respect. Those qualities, I feel, are essential when building rapport with patients and co-workers."
"Confidence is one thing I think is important. It's hard to believe in someone who doesn't believe in themselves."
"We all possess different qualities and that is what makes a great team. If I were responsible for interviewing and hiring new employees,I would look for someone who has a genuine interest in the job and a desire to grow and learn. None of us knows everything there is to know about each disease or treatment. Being willing to learn and share what we've learned with one another makes us a better team and benefits our patients and those who will need care in the future."