Well, there is an answer. Two professors from Cornell University have studied the issue.
The phenomena, known as the Dunning-Krueger Effect can be summarized with the following:
The hypothesized phenomenon was tested in a series of experiments performed by Justin Kruger and David Dunning, then both of Cornell University.[2][9] Kruger and Dunning noted earlier studies suggesting that ignorance of standards of performance is behind a great deal of incompetence. This pattern was seen in studies of skills as diverse as reading comprehension, operating a motor vehicle, and playing chess or tennis.
Kruger and Dunning proposed that, for a given skill, incompetent people will:
- tend to overestimate their own level of skill;
- fail to recognize genuine skill in others;
- fail to recognize the extremity of their inadequacy;
- recognize and acknowledge their own previous lack of skill, if they can be trained to substantially improve.