I don't think just a week would change much or cause as much widespread panic as you might think. Most would think it's just down in their area and not globally at first until they get to a radio or newspaper that's reporting about the global outage. Almost everyone has enough food and entertainment stocked up to last a week.

Imagine if there was a virus that bricked every iOS and Android device. The average IQ of internet users would instantly jump from 80 to 95. Now imagine it also took out every Windows device. The average IQ would jump far into the triple digits, maybe even above 110! You could go to message boards, forums, and maybe even mainstream social media to find actual discussion instead of just mindless spam!