Apple ID Password email address is inccorrect but store email address IS correct after restoring iPhone 4S
If an app was installed by someone else (say, a friend or family member) using their Apple ID, you will be required to type in that Apple ID's password to reauthorize the app to your device now that it has been wiped &amp; restored.

If it is a free app it is asking you to authorize, you can also remove the app and re-download through the App Store using your own Apple ID account.