Statement:
An average person in Cook Islands drinks more alcohol than in New Zealand

In the Alcohol average daily consumption rating Cook Islands holds position #38 ²⁰¹⁶ out of 189 and New Zealand is #93 out of 189 ²⁰¹⁶.
Position of Cook Islands is worse than position of New Zealand.
Both countries holds average positions in the "Alcohol average daily consumption" rating. So Both sexes is an average for both Cook Islands and New Zealand, compared to most countries of the World.

Referencies:

1. Alcohol average daily consumption ²⁰¹⁶ by WHO

   The countries in the rating sorted by 'Both sexes' in descending order.

   Cook Islands	'Both sexes' value is	45.1
   New Zealand	'Both sexes' value is	30.9