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

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