I was recently speaking to a friend who is a law professor at a prominent institution. He teaches first-year law courses and thus, meets students when they are just entering their careers and not yet polished. He was telling me that he is taken aback by how many of his students use "I believe" before their statements in class. The preface "I believe" diminishes the student's point; my friend is looking for persuasive pronouncements, not thin opinions.
Consider this issue when interviewing. Note the difference between "I'll make a strong medical student" and "I believe I'll make a strong medical student." The latter introduces that inkling of doubt you don't want to impart.
I have advisees who worry about saying "um" or "uh" during interviews. (I advised a pre-med who, in preparing for interviews, asked his girlfriend to gently slap his hand every time he said "um" so he'd experience negative consequences. Yikes!) As I tell my mentees, I'm not worried about an "um" or an "uh." (Note President Obama, well-known to be an excellent orator; he inadvertently uses vocal pauses when he speaks.)
Instead, the key to a persuasive interview is to have confident responses that are bolstered by persuasive evidence.