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

In the Alcohol average daily consumption rating Cook Islands holds position #38 ²⁰¹⁶ out of 189 and Australia is #103 out of 189 ²⁰¹⁶.
Position of Cook Islands is worse than position of Australia.
Both countries holds average positions in the "Alcohol average daily consumption" rating. So Both sexes is an average for both Cook Islands and Australia, 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.

   Australia	'Both sexes' value is	28.9
   Cook Islands	'Both sexes' value is	45.1