The other players who have retained their places are Lois Randall (Hutt Valley) Sheree Holmes (Upper Hutt Valley), Maureen Pruden (Waikato), Linda McCurdy (Waikato), Gary Low (Southland), Ashley Diamond (Canterbury), John Zittersteijn (North Taranaki), Grant Rayner (North Wellington).
Wright comes into the side as skip of the mixed four and skip of the mixed 6 - bowl pairs while Smith will lead in the men's four and triple.
New Zealand has won the trophy 15 times including eight tests in succession from 1993-2007. Tests are played every two years and alternate between countries. Australia has won five times - most recently in 2009 and 2011.
The test match will run from May 14-16.