There are approximately 12 million lawful permanent resident working in the US. This is 1 in 14 every employees. I really don't see how their presence would make much difference in what people are paid. There is certainly not enough to significantly alter the supply of workers and since they are legal there's no reason to believe that they would work at a lower rate.
Consider also that there about 8 or 9 million Americans working abroad. Suppose other countries matched the US by sending Americans back home to work.
Not that difficult really. If employers have the ability to hold out for lower pay, they will. Up to 2014, the amount of new jobs created equaled the amount of immigrants that took employment in this country. Your figure included all employment positions. However, if you look at the jobs immigrants are only capable of doing, it works out to much more than 1out of ever 14 employees.
I have seen several studies for different time periods that make similar claims. However, there are a number assumptions made that serious effect the outcome. One being limiting the study to those under 65, an age group that has few immigrants compared to other age groups. Also the assumption as to the number of undocumented immigrants are usually on the high side. Since there is no way of knowing how many there are nor how many are holding jobs, estimates vary widely. What this means is you can construct any scenario involving undocumented and number of new jobs and come out with all kinds conclusions depending on the assumptions you make.
It is certainly true that in some jobs categories such as agricultural workers, less immigrants would have an effect on pay. However, in skilled job categories where there are much fewer immigrants, there would be little effect at all. I believe other factors in the economy would be far more significant than the number immigrants.
Sure there are, but immigration is leading the problem.
The second of course is getting Americans off of welfare and taking some of these jobs.
My father is a retired bricklayer. He did very well for himself, but of course it all depended on the construction industry. One year when things were slow, he was invited to Florida to work for a couple of months. He was all prepared to go until he found out what they were paying; less than a third of what he made up here. The reason? Too many immigrants down there taking jobs as bricklayers.
I thought about this topic today when a coworker of mine and I were sitting around during dead time. There is a dead end street that we can park our trucks at where we can BS. At the end of this cup-de-sac is a self-serve truck fueling station.
Some joker pulls into the tip of the driveway of the station, stops, and starts to monkey around with the axles on his trailer. My coworker and I just looked at each other like WTF? As we watched him adjust his axles, I asked my coworker "Doesn't this moron realize it's a truck fueling station and they designed it so trucks could get into the place???
Then we watched him get out again, and noticed he looked middle-eastern with the sandals and all. We just shook our heads and I said "Well that figures."
He blocked the driveway for about five minutes while other trucks were waiting for him to get out of the way.