Carey's batting partner and captain also spoke after the win and justified the attack with the bat from the bowling side's point of view.
“If the scoreboard isn't moving, it always feels like there's a match going on (from the bowling side), but if the opponent is chipping away, everything seems to be happening very quickly.
“So that was our goal today, just to stay busy on the outside and keep getting the run rate up and getting closer and closer.”
Reflecting on the beginning of the Test, the captain praised his men for keeping their cool as wickets were rolling on both sides and taking a crucial first innings lead heading into the latter stages.
“It moved really fast that day. Then the pitch flattened out and things got a bit tough for the bowlers. But yeah, that first innings lead was always the key.
“I think the story of this series is one guy stood up at a critical moment. We didn't necessarily pitch a complete game, but someone stood up and was a game winner. (We) figured out how to win. I'm continuing to look for them. It's quite an amazing team.
“Great win, little by little, but the players were great today.”
Lonely New Zealand captain Tim Southee praised the work of Australia's batsmen.
“Yeah, it was a great partnership (Marsh and Carey). It broke the back of our attack, but obviously it was very exciting towards the end of the day,” Southee said in his 100th Test match. I looked back.
“When you play the No. 1 team in the world you just need to get a little bit more forward, but I think it was a great test match. Obviously going into the fourth day, both results and the whole flow after that. ”The whole match.