PAYPAL HACK "There is a problem with your account"

Recently i received a message with a title: There is a problem with your account

from a certain Pay Pal Support Pay@service.com

with this message:

Dear Member

As part of our security measures, we regularly screen activity in the Security system.We recently contactedyou after noticing an issue on your account. We requested information from you for the following reason: 

Our system detected unusual charges to a credit card linked to your Account.

Reference Number: PAP-154-746-987

This is the Last reminder to log in to your account as soon as possible. Once you log in, you will be providedwith steps to restore your account access.

We appreciate your understanding as we work to ensure account safety.

Click here to activate your account>> 

We thank you for your prompt attention to this matter.
Please understand that this is a security measure intended to help protect you and your account. Weapologise for any inconvenience.

When i click the activate your account i wonder why it linked to other website and not on paypal. I open Paypal.com website and was able to logged in without any difficulty that's why i concluded that the email sent was a method of hacking a paypal account. Of course i immediately close the linked website. If you encounter an email like this, it is a hack! dont follow what it tells you to do or dont fill-out any forms.