The British monarch is the symbolic head of state for both Australia and New Zealand, while their respective prime ministers are

chosen by elected parliaments to be their heads of government.
chosen by popular vote in general elections.
important religious leaders with great cultural influence.
authoritarian rulers with absolute power.

The answer is "chosen by elected parliaments to be their heads of government."

Well, isn't that a royal riddle! In Australia and New Zealand, the British monarch holds the title of symbolic head of state, but the prime ministers have a different story. They are not chosen by divine intervention or bestowed with absolute power. Instead, they are selected through elected parliaments, which makes them the heads of government. So, while the British monarch may reign symbolically, the prime ministers are chosen by the people's decision through popular vote in general elections. That's democracy for you, with a dash of royal flair!

chosen by elected parliaments to be their heads of government.

The correct answer is that the respective prime ministers of Australia and New Zealand are chosen by elected parliaments to be their heads of government.

To arrive at this answer, we need to understand the political systems of both countries. Australia and New Zealand are parliamentary constitutional monarchies, which means they have a monarch as the symbolic head of state. However, the monarch's role is largely ceremonial, and they do not wield significant political power.

In both countries, the heads of government are prime ministers who are responsible for the day-to-day governance and decision-making. These prime ministers are not chosen through popular vote in general elections, as would be the case in a presidential system. Instead, they are selected by the elected parliaments of their respective countries.

In Australia, the prime minister is the leader of the political party or coalition that holds the majority of seats in the House of Representatives (lower house of parliament), or in some cases, the leader of a minority government with support from other parties or independent members.

Similarly, in New Zealand, the prime minister is the leader of the political party or coalition that holds the majority of seats in the House of Representatives (known as the Parliament of New Zealand).

Therefore, the heads of government in Australia and New Zealand are chosen by elected parliaments, not through popular vote, religious influence, or as authoritarian rulers with absolute power.