diff --git a/pep-0362.txt b/pep-0362.txt
index ba51c6ad4..afb751f79 100644
--- a/pep-0362.txt
+++ b/pep-0362.txt
@@ -176,7 +176,7 @@ A Parameter object has the following public attributes and methods:
 
        * ``Parameter.VAR_KEYWORD`` - a dict of keyword arguments
          that aren't bound to any other parameter. This corresponds
-         to a "\*\*kwds" parameter in a Python function definition.
+         to a "\*\*kwargs" parameter in a Python function definition.
 
     Always use ``Parameter.*`` constants for setting and checking
     value of the ``kind`` attribute.
@@ -391,9 +391,9 @@ Let's define some classes and functions:
 
         def decorator(f):
             @wraps(f)
-            def wrapper(*args, **kwds):
+            def wrapper(*args, **kwargs):
                 full_args = shared_args + args
-                return f(*full_args, **kwds)
+                return f(*full_args, **kwargs)
 
             # Override signature
             sig = signature(f)
@@ -488,14 +488,9 @@ Annotation Checker
 
             # If the argument has a type specified, let's check that its
             # default value (if present) conforms with the type.
-            try:
-                default = param.default
-            except AttributeError:
-                continue
-            else:
-                if not isinstance(default, type_):
-                    raise ValueError("{func}: wrong type of a default value for {arg!r}". \
-                                     format(func=func.__qualname__, arg=param.name))
+            if param.default is not param.empty and not isinstance(param.default, type_):
+                raise ValueError("{func}: wrong type of a default value for {arg!r}". \
+                                 format(func=func.__qualname__, arg=param.name))
 
         def check_type(sig, arg_name, arg_type, arg_value):
             # Internal function that encapsulates arguments type checking