It is a scam:
http://800notes.com/news/multinational-crackdown-on-computer-con-artists

I just received a call from this # wanting me to go & turn on my computer.  Said they were from Microsoft & that there was unwanted spyware & other things that might be attacking my computer every time I log-on & wanted to help me fix it.  I told them that I didn't have the time because I was trying to put my kids to bed, so I hung up on them.

Lady called and asked for me by name, from Name Not Found on caller ID,  276-001-7708, says my pc is downloading harmful programs that damage microsoft windows and fast talk about where she was from, heavy island accent and hard to understand.  Asked her 3 times to say again, then asked her name and phone number and told her put supervisor on phone, and she refused.  Asked where she got my name and number and she said from available resources from someone else I did business with and would not or could not specify where or who.  I told her to take my name off her calling list and never call me again or I'd be calling the police.  She also gave me 1-800-878-2302 as her number and gave me her first and last name.  Then I hung up after she did.

I received a call from 276-001-7708 with an unknown name.  It was a man with a heavy Indian accent telling me he was from Windows and was calling me to correct errors on my computer.  I asked him "What computer?" and he said "Your home computer, right?" and I said "No, I don't understand.  Who are you?"  He said "Do you have your computer on, mam?" and I said "Yes" and then he asked me if I was at the keyboard and I said "Yes" then he switched the phone over to a woman and she started to guide me to hit buttons on my computer keyboard.  I asked her again "What is this about?  What are you trying to fix?" and she said "Mam, I will walk you through it."  So, I hung up.  Only to have them call repeatedly 3 more times in a row.  I let the machine get the first 2 calls and answered the third call AFTER I read online that this was a scam.  I told her that I knew this was a scam and that I was going to report them and to never call me again.  The thing that got me was that they called over and over and were very persistent.  They better crack down on this thing.

I got a call tonight also - from this number very heavy accent, male,  fast talker - I refused to go to my computer - he compared me to his mother (red flag).  I asked for a # to call back after I checked it out & he gave me 1-800-878-2302 & a website - no way am I logging on to this website.

This is a major scam - I checked out pcwizard & all the info I pulled up said scam.  Hang up on these people & report them.