StuckinACF

Right now I'm a sophomore undergrad. I'm thinking of doing a PhD in Statistics from the U.S. with the long-term goal of immigration. I would have done an MSc if I could afford it, but alas. I'm not from any country which faces a green card processing delay by the way. But still, I'd like to ask you whether my idea is naïve, considering how the U.S. has a reputation of being extremely difficult to immigrate to. The way I see it, the only real hurdle is obtaining the H1B since the process of H1B to green card is easier if you're not Indian/Chinese/Mexican, which I'm not. So I think this will boil down to the question of whether employers will be willing to sponsor a Statistics PhD fresh out of grad school. You guys have any info on this? Edit: Perhaps I should clarify. Since grads have a separate h1b lottery, if the employer applies for H1B then, combined with the OPT, I will probably get it. The question is will there even be an employer willing to undergo the process of applying?

A bit late to the thread, but could I request some verification for the claim that PhD has an advantage over MS in the H1B lottery? Basic google search says that Masters and PhD are treated as equivalent.