According to this article Search Atheism On The Rise, only 51% of people trust information provided by search engines and that number is down from 62% in 2006.
That's interesting and to add to that, it goes to show, once again, don't optimize for rankings, but do so for your users.
Humans are getting smarter, children are adapting to internet/computer usage quicker and faster than we ever did when were were that age (30s here) and with that comes the understanding that what Google or other search engines bring up as search results may not be the authority on the subject or is always worth debating. Even though your website is #7 or on page two, remember there is still a good chance that you're site is doing pretty good in the search results.
Being #1 on Google or other search engines is surely one thing but getting hit for long tail searches or deep search results is another.