Understanding the Population Paradox

The video tutorial explains the population paradox in apportionment, where a smaller state with rapid growth can lose a legislative seat to a larger state with slower growth due to rounding in the apportionment process. Using Hamilton's method, the tutorial demonstrates this paradox with a detailed example involving population data from 2000 and 2010. The example shows how district allocations change despite growth rates, illustrating the counterintuitive nature of the paradox.

What is the Population Paradox in the context of apportionment?

• A situation where a smaller state loses a seat to a larger state despite higher growth.

• A method to equally distribute seats among states.

• A technique to increase the number of seats in a legislative body.

• A process to calculate the total population of a country.

What is the first step in Hamilton's Method for apportionment?

• Distribute seats equally among all states.

• Determine the divisor by dividing the total population by the number of seats.

• Calculate the total number of seats.

• Assign seats based on the largest population.

How is the initial allocation of seats determined in Hamilton's Method?

• By comparing the total population of each state.

• By adding the decimal part of the quota values.

• By removing the decimal part of the quota values.

• By rounding up the quota values.

In the 2000 census example, which district received the extra seat and why?

• District A, because it had the smallest decimal part in its quota.

• District C, because it had the highest growth rate.

• District B, because it had the smallest population.

• District A, because it had the largest decimal part in its quota.

What was the divisor used for the 2010 census data in Hamilton's Method?

• 1,566.667

• 1,875

• 2,000

• 1,500

How many extra seats needed to be allocated in the 2010 census example?

• Three extra seats

• Two extra seats

• One extra seat

• No extra seats

Which districts received the extra seats in the 2010 census example?

• District A and District C

• District A and District B

• District A and District B

• District B and District C

What does the Population Paradox demonstrate in the 2010 example?

• District B gained a seat due to a decrease in population.

• District A lost a seat despite having the largest growth rate.

• District A gained a seat due to the smallest growth rate.

• District C lost a seat due to a decrease in population.

What was the final seat allocation for District A in 2010?

• 6 seats

• 5 seats

• 3 seats

• 4 seats

What is the main cause of the Population Paradox?

• Increasing the number of seats.

• Equal growth rates among states.

• Incorrect census data.

• Rounding in the apportionment procedure.