Trying to paste clipboard info into TextEdit

I am new to AppleScript, but from what I've been reading, this should a fairly simple task. I'm trying to do the following:

• Create a new TextEdit document
• Paste the contents fo the clipboard into the document

Current system configuration:

• iMac with an Intel Core i5
• OS X 10.8
• "Enable access for assistive devices" in System Preferences is checked.

This is the code I am using:

tell application "TextEdit"

activate

tell application "System Events"

tell process "TextEdit" to keystroke "V" using {command down}

end tell

end tell

The code compiles without any issues. When I run the scrip in AppleScript Editor, it starts TextEdit and then I hear a beep. When I export the script as an application and run it, TextEdit starts, I do not hear a beep, but no text is pasted. I appears that the TextEdit program does not have the focus when the paste command attempts to run.

Any help would be greatly appreciated!