If you are referring to the Ancestry.com indexing of the censuses then
corrections (real or alleged) can be submitted by subscribers but not
by users of the Ancestry Library Edition. If you are not a subscriber
then to get the details in you will either have to persuade a
subscriber to allow you to enter the corrections via his/her account
or use a roundabout method such as posting a list somewhere on the
internet where Google etc. can find it thus giving someone else
(likely to be related) the opportunity to enter the amendments.
If the census taker misspelled the name, then that is the official census
record.
Some census takers couldn't even get surnames with only 4 letters spelled
correctly.