Privacy Act 2020 ss 59–65
If a public (or private-sector) organisation holds information about you, and you think it’s wrong, you’re entitled to ask for them to correct it.
They’re not legally required to change it if they think the information is correct. However, if they don’t correct it you can require them to attach a statement to the original information saying what the correction was that you asked for.
(For more details about correcting your information, see “How you can access your information, and correct it if necessary”, in the chapter “Privacy and information”.)