I did all the readme file is asking me to do and lsinventory seems to say everything is ok.
See Here:
$opatch lsinventory
Oracle Interim Patch Installer version 11.2.0.3.6
Copyright (c) 2013, Oracle Corporation. All rights reserved.
Oracle Home : /u01/app/oracle/product/11.2.0/dbhome_2
Central Inventory : /u01/app/oraInventory
from : /u01/app/oracle/product/11.2.0/dbhome_2/oraInst.loc
OPatch version : 11.2.0.3.6
OUI version : 11.2.0.4.0
Log file location : /u01/app/oracle/product/11.2.0/dbhome_2/cfgtoollogs/opatch/opatch2014-11-06_14-17-27PM_1.log
Lsinventory Output file location : /u01/app/oracle/product/11.2.0/dbhome_2/cfgtoollogs/opatch/lsinv/lsinventory2014-11-06_14-17-27PM.txt
--------------------------------------------------------------------------------
Installed Top-level Products (1):
Oracle Database 11g 11.2.0.4.0
There are 1 product(s) installed in this Oracle Home.
Interim patches (1) :
Patch 19121551 : applied on Thu Nov 06 13:50:39 EST 2014
Unique Patch ID: 17949166
Patch description: "Database Patch Set Update : 11.2.0.4.4 (19121551)"
Created on 6 Oct 2014, 10:07:57 hrs PST8PDT
Sub-patch 18522509; "Database Patch Set Update : 11.2.0.4.3 (18522509)"
Sub-patch 18031668; "Database Patch Set Update : 11.2.0.4.2 (18031668)"
Sub-patch 17478514; "Database Patch Set Update : 11.2.0.4.1 (17478514)"
Bugs fixed:
17288409, 17205719, 17811429, 17754782, 17726838, 13364795, 17311728
17284817, 17441661, 13645875, 18199537, 16992075, 16542886, 17446237
14565184, 17071721, 17610798, 17375354, 17449815, 17397545, 19463897
18230522, 17235750, 16360112, 13866822, 17982555, 17478514, 12905058
14338435, 13944971, 16929165, 12747740, 17546973, 14054676, 17088068
18264060, 17343514, 17016369, 17042658, 14602788, 14657740, 17332800
19211724, 13951456, 16315398, 17186905, 18744139, 16850630, 17437634
19049453, 18673304, 17883081, 18641419, 17296856, 18262334, 17006183
18277454, 17232014, 16855292, 10136473, 17705023, 17865671, 18554871
19121551, 17588480, 17551709, 17344412, 17842825, 18681862, 17390160
13955826, 13609098, 18139690, 17501491, 17239687, 17752121, 17299889
17602269, 18673325, 17313525, 17242746, 19544839, 17600719, 18191164
17571306, 19466309, 17951233, 18094246, 17165204, 17011832, 17040527
16785708, 16180763, 17477958, 17174582, 17465741, 18522509, 17323222
19463893, 16875449, 16524926, 17237521, 17596908, 17811438, 17811447
18031668, 16912439, 16494615, 18061914, 17545847, 17082359, 19554106
17614134, 17341326, 17891946, 19458377, 17716305, 17752995, 16392068
19271443, 17767676, 17614227, 17040764, 17381384, 18973907, 18673342
14084247, 17389192, 17006570, 17612828, 17721717, 13853126, 18203837
17390431, 17570240, 14245531, 16043574, 16863422, 19727057, 17468141
17786518, 17037130, 17267114, 18203838, 16198143, 16956380, 17478145
14829250, 17394950, 17027426, 16268425, 18247991, 19584068, 14458214
18436307, 17265217, 13498382, 16692232, 17786278, 17227277, 16042673
16314254, 17443671, 16228604, 16837842, 17393683, 17787259, 18009564
15861775, 16399083, 18018515, 16472716, 17050888, 14010183, 17325413
16613964, 17080436, 17036973, 17761775, 16721594, 18280813, 15979965
18203835, 17297939, 16731148, 17811456, 14133975, 17385178, 17586955
16450169, 17655634, 9756271, 17892268, 17648596, 16220077, 16069901
11733603, 16285691, 17587063, 18180390, 17393915, 18096714, 17238511
17824637, 14285317, 19289642, 14764829, 18328509, 17622427, 16943711
17346671, 18996843, 14852021, 17783588, 16618694, 17672719, 17546761
--------------------------------------------------------------------------------
OPatch succeeded.
Now when I connect with sqlplus or ask what version I am running, it says 11.2.0.4 everywhere. Does not say 11.2.0.4.4.