Python – Setting Mac OSX Application Menu menu bar item to other than “Python” in the python Qt application

I am writing a GUI application using python and Qt. When I launch my application on Mac, the first menu item in the Mac menu bar at the top of the screen is "Python". I would prefer the application name there to be the name of my application. How can I get my program name up there?

The following demo program creates a window with two menus: "Python", and "Foo". I don't like that, because it makes no difference to my users whether I wrote the app in python or COBOL. Instead I want menus "MyApp" and "Foo".

#!/usr/bin/python

# This example demonstrates unwanted "Python"
# application menu name on Mac.

# Makes no difference whether we use PySide or PyQt4
from PySide.QtGui import *
# from PyQt4.QtGui import *

import sys

app = QApplication(sys.argv)
# Mac menubar application menu is always "Python".
# I want "DesiredAppTitle" instead.
# setApplicationName() does not affect Mac menu bar.
app.setApplicationName("DesiredAppTitle")
win = QMainWindow()
# need None parent for menubar on Mac to get custom menus at all
mbar = QMenuBar()
# Add a custom menu to menubar.
fooMenu = QMenu(mbar)
fooMenu.setTitle("Foo")
mbar.addAction(fooMenu.menuAction())
win.setMenuBar(mbar)
win.show()
sys.exit(app.exec_())

How can I change that application menu name on Mac? EDIT: I would prefer to continue to use the system python (or whatever python is on the user PATH) if possible.