How to copy a Drupal site

I have a Drupal site that I would like to copy.  My shared host allows me to have unlimited amount of sites and DB so my plan is to create new web site from my original one.  My understanding of the steps involved was that
1- Make my domain name DNS point to my hosting server
2- Add a new domain via my cPanel
3- Copy the all files from my existing Drupal to the new folder
4- Export my database
5- Create a new database
6- Import my script created from step 4
7- Changed the database information in the sites\default\settings.php file

but now when I navigate to my site it automatically goes to the install.php page, why is that happening?  Did I miss any steps?
Thanks,
Eric

ps: btw I am new to Drupal, PHP and Linux so if possible be very clear in your explanations