|The signal strength and "you are connected" message just means you are successfully connected to your wireless router.|
It appears that your router is the problem. It's WiFi is working fine but the router itself is not connected to the internet.
Check the router's status lights to see if any of them are showing a fault.
Check all the cabling from/to the router, make sure all connected properly.
Try turning off the router, wait 30 seconds, then plug it back in and wait for all it's lights to show "okay" before trying to use WiFi on your laptop.
If still no joy, contact your ISP to see if they are experiencing problems in your neighbourhood.
message edited by phil22