Does the DB already exist? If so, try deleting it first.
OR, go back to your phpMyadmin and export the tables/data, not the database.
1. cPanel --> MYSQL Databases , create your database. create a user (write the password down) and add the user to the db with ALL PRIVILEGES
2. Export just data/tables from your current DB. use phpMyAdmin. Go to your database (should show all your tables). Click export, etc.
3. Use that file to import into your DB here via phpMyAdmin.