Here’s a clarification of the statements you provided regarding the political systems of Australia and New Zealand:
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Australia is a constitutional monarchy; New Zealand is a democracy: This statement is misleading. Both countries are constitutional monarchies and parliamentary democracies, recognizing the British monarch as the head of state.
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Australia’s entire territory is ruled directly by the central; New Zealand is divided into states: This statement is partially incorrect. Australia is a federation composed of states and territories with their own governments. New Zealand, on the other hand, is a unitary state with a single central government and no states, only regions.
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In Australia, citizens are required by law to vote in elections; in New Zealand, voting is not required: This statement is accurate. Australia has compulsory voting laws, while New Zealand does not require its citizens to vote.
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Australia does not have a written (constitution): This statement is incomplete. Australia does have a constitution, though it is a mix of written and unwritten traditions.
The most accurate distinction regarding the political systems of Australia and New Zealand is the third statement about voting requirements.