Dubious assumptions:

1. That seeking beyond the end of a file increases the size of a file.
2. That files so extended are magically filled with null bytes.

I find no support for either in the C std, and #2 in particular turns out
not to be true on Win32 (you apparently see whatever trash happened to be
on disk).  Left #1 intact, but changed the test to check only bytes it
explicitly wrote.  Also fiddled the "expected" vs "got" failure reports
to consistently use repr (%r) -- they weren't readable otherwise.
diff --git a/Lib/test/test_largefile.py b/Lib/test/test_largefile.py
index 3f3b8f1..b2bec1f 100644
--- a/Lib/test/test_largefile.py
+++ b/Lib/test/test_largefile.py
@@ -42,12 +42,12 @@
 
 def expect(got_this, expect_this):
     if test_support.verbose:
-        print '%s =?= %s ...' % (`got_this`, `expect_this`),
+        print '%r =?= %r ...' % (got_this, expect_this),
     if got_this != expect_this:
         if test_support.verbose:
             print 'no'
-        raise test_support.TestFailed, 'got %s, but expected %s' %\
-              (str(got_this), str(expect_this))
+        raise test_support.TestFailed, 'got %r, but expected %r' %\
+              (got_this, expect_this)
     else:
         if test_support.verbose:
             print 'yes'
@@ -59,6 +59,8 @@
 if test_support.verbose:
     print 'create large file via seek (may be sparse file) ...'
 f = open(name, 'wb')
+f.write('z')
+f.seek(0)
 f.seek(size)
 f.write('a')
 f.flush()
@@ -74,7 +76,7 @@
     print 'play around with seek() and read() with the built largefile'
 f = open(name, 'rb')
 expect(f.tell(), 0)
-expect(f.read(1), '\000')
+expect(f.read(1), 'z')
 expect(f.tell(), 1)
 f.seek(0)
 expect(f.tell(), 0)
@@ -97,11 +99,14 @@
 f.seek(size)
 expect(f.tell(), size)
 expect(f.read(1), 'a') # the 'a' that was written at the end of the file above
+f.seek(-size-1, 1)
+expect(f.read(1), 'z')
+expect(f.tell(), 1)
 f.close()
 
 if test_support.verbose:
     print 'play around with os.lseek() with the built largefile'
-f = open(name, 'r')
+f = open(name, 'rb')
 expect(os.lseek(f.fileno(), 0, 0), 0)
 expect(os.lseek(f.fileno(), 42, 0), 42)
 expect(os.lseek(f.fileno(), 42, 1), 84)