This article by the head of HR at Google [over 2 million views at Linkedin] gives a realistic view of hiring at a major tech company – they are flooded with highly qualified American applicants.

Avoiding typos is good advice, but note that one typo will get even ‘great’ applicants automatically rejected; that’s how competetive it is for these jobs at Google.

https://www.linkedin.com/today/post/article/20140917045901-24454816-the-5-biggest-mistakes-i-see-on-resumes-and-how-to-correct-them

‘September 17, 2014

And at Google we sometimes get more than 50,000 resumes in a single week.
…
What’s most depressing is that I can tell from the resumes that many of these are good, even great, people. But in a fiercely competitive labor market, hiring managers don’t need to compromise on quality. All it takes is one small mistake and a manager will reject an otherwise interesting candidate.
…
Mistake 1: Typos.’