So that means if it's a Seagate HDD you need to use the Seagate utility not something supplied by HP.
You can get your HDD Makers testing Utility from here just click on it's name
http://www.tacktech.com/display.cfm?ttid=287
If the drive fails the test you need to remove it fit it to another computer and retest. if it still fails then the Drive is faulty and needs replacing. Check to see if it is Under Warranty and then get HP to Repair Replace as required.
If it passes the second test you need check the Data Lead, M'Board or Power Supply as one of those is shot and no longer working correctly.
You can get a copy of the Ultimate Boot CD from here to do some Diagnostic tests
http://www.ultimatebootcd.com/download.html
Also check with HP to see if your NB was one of the ones recalled for faulty manufacture and there is a free repair in place for it.
Just a word of warning though with any NB you should always use a Cool Pad under it to prevent it overheating and sucking in dust and other airborne crud which blocks the internal airways and leads to overheating. I always supply these Antec NB Coolers with any new NB that I sell.
http://www.mwave.com.au/newAU/mwaveAU/productdetail.asp?SKU=18090002
Col