Move importlib's frozen importer over to rpartition for setting __package__.
diff --git a/Lib/importlib/_bootstrap.py b/Lib/importlib/_bootstrap.py
index fc2a744..99fb236 100644
--- a/Lib/importlib/_bootstrap.py
+++ b/Lib/importlib/_bootstrap.py
@@ -138,10 +138,9 @@
         if cls.find_module(fullname) is None:
             raise ImportError("{0} is not a frozen module".format(fullname))
         module = imp.init_frozen(fullname)
-        if hasattr(module, '__path__'):
-            module.__package__ = module.__name__
-        elif '.' in module.__name__:
-            module.__package__ = module.__name__.rsplit('.', 1)[0]
+        module.__package__ = module.__name__
+        if not hasattr(module, '__path__'):
+            module.__package__ = module.__package__.rpartition('.')[0]
         return module
 
 
diff --git a/Lib/importlib/test/frozen/test_loader.py b/Lib/importlib/test/frozen/test_loader.py
index c6f4463..9032b0b 100644
--- a/Lib/importlib/test/frozen/test_loader.py
+++ b/Lib/importlib/test/frozen/test_loader.py
@@ -9,7 +9,7 @@
         with util.uncache('__hello__'):
             module = machinery.FrozenImporter.load_module('__hello__')
             check = {'__name__': '__hello__', '__file__': '<frozen>',
-                        '__package__': None}
+                        '__package__': ''}
             for attr, value in check.items():
                 self.assertEqual(getattr(module, attr), value)