diff --git a/Lib/test/test_codecs.py b/Lib/test/test_codecs.py
index 39d4206..fa52033 100644
--- a/Lib/test/test_codecs.py
+++ b/Lib/test/test_codecs.py
@@ -914,8 +914,8 @@
     
     def test_basic(self):
         f = StringIO.StringIO('\xed\x95\x9c\n\xea\xb8\x80')
-        ef = codecs.EncodedFile(f, 'utf-16', 'utf-8')
-        self.assertEquals(ef.read(), '\xff\xfe\\\xd5\n\x00\x00\xae')
+        ef = codecs.EncodedFile(f, 'utf-16-le', 'utf-8')
+        self.assertEquals(ef.read(), '\\\xd5\n\x00\x00\xae')
 
         f = StringIO.StringIO()
         ef = codecs.EncodedFile(f, 'utf-8', 'latin1')