Minimum wages do nothing to solve poverty.
Even if your statement is true, which it is not, minimum wage boosts the economy by increasing aggregate demand.
The current annual income of a Kiwi in the minimum wage assuming an 8 hour a day, 40 hour work week is already NZD30.000 and it is set to rise next next year.
Then the minimum wage is not sufficient high to be a living wage, that's why child poverty is so prevalent. Raise it higher than.