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If you're sure it's "nowhere near accurate," then why would you even bother including it in your statement as support of anything meaningful?
Answering my question with a truism isn't going to foster any kind of discussion and it's also an error in logic.
If you had been thinking more critically when you read that statistic, and if you had thought about my question more in-depth instead of blowing it off, then you might have wondered how researchers could come up with a number accurately approximating people who aren't participating in the legal work/social domain.
People who aren't here legally are going to be more difficult to find, by their own desires and by the function of the market (illegal, under the table, hidden) in which they work within. They are going to be difficult, and sometimes impossible, to survey.
One might reasonably conclude that 4.7% is a lowest (non-politcally "conservative") estimate, at best. The number of undocumted workers could, and in all liklihood is, much larger than that. In so far as anyone would use such a troubled estimate to bolster a claim that undocumated laborers are "not a very large portion" of the economy is highly suspect to me.
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"The theory of a free press is that truth will emerge from free discussion, not that it will be presented perfectly and instantly in any one account." -- Walter Lippmann
"You measure democracy by the freedom it gives its dissidents, not the freedom it gives its assimilated conformists." -- Abbie Hoffman
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