Exactly what almost happend to me.
I have McAfee antivirus in my computer, something that is very common.... I got a new bill that didn't include the discount I always get in December when my subscription is renewed, it happened at least twice before.... as usual I googled McAfee number, called, explained the situation, and he started asking weird questions like full number of CC instead of last 4 words, etc....
It was a scam.
They posted the number in google and paid to be among the first results after you search "contact McAfee antivirus". Thank God, I figured it out something was off and hang up the phone. I called the real company and YET the fake site was up for at least another week.