I question how the expected number are derived -- from the population at large? Or from college graduates? MENA graduates proportionally far more engineers than western schools.
There is also considerable confusion in the public and amongst engineers themselves about the differences with scientists. Briefly, scientists discover new effects while engineers use the available science to make their machines (systems) work.
Scientists tend to focus very narrowly on the interesting effect. Engineers might like to focus on some interesting effect, but must not miss any important effects. That's how machines break. Engineers are scientists' harshest critics.