$\begin{array} { l | c c c c c }
\text { State } & \mathrm { a } & \mathrm { b } & \mathrm { c } & \mathrm { d } & \mathrm { e } \
\hline \text { Population } & 131 & 140 & 304 & 178 & 197
\end{array}$
-If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands), then one of the states loses a seat to another If the original number of seats being apportioned is 48. $$\begin{array} { l | c c c }
\text { State } & \text { Original State a } & \text { Original State b } & \text { New State c } \
\hline \text { Population } & 844 & 3956 & 724
\end{array}$$ Which state loses a seat to which state, and does the New States paradox occur?
A)b loses a seat to a, yes
B)b loses a seat to a, no
C)a loses a seat to b, no
D)a loses a seat to b, yes

Question

$\begin{array} { l | c c c c c } 
\text { State } & \mathrm { a } & \mathrm { b } & \mathrm { c } & \mathrm { d } & \mathrm { e } \
\hline \text { Population } & 131 & 140 & 304 & 178 & 197
\end{array}$
-If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands), then one of the states loses a seat to another If the original number of seats being apportioned is 48. $$\begin{array} { l | c c c } 
\text { State } & \text { Original State a } & \text { Original State b } & \text { New State c } \
\hline \text { Population } & 844 & 3956 & 724
\end{array}$$ Which state loses a seat to which state, and does the New States paradox occur?
A)b loses a seat to a, yes
B)b loses a seat to a, no
C)a loses a seat to b, no
D)a loses a seat to b, yes

Quizplus · Accepted Answer

The Hamilton Method is a method of apportionment that uses the following steps:1. Divide the population of each state by the number of seats being apportioned.2. Rank the states in order of their quotients.3. Assign seats to the states in order of their rank, starting with the state with the highest quotient.In this case, the original number of seats being apportioned is 48. The population of State a is 844, the population of State b is 3956, and the population of State c is 724.The quotients are:State a: 844 / 48 = 17.58State b: 3956 / 48 = 82.42State c: 724 / 48 = 15.08The states are ranked in order of their quotients:1. State b2. State a3. State cThe seats are assigned to the states in order of their rank:1. State b: 24 seats2. State a: 17 seats3. State c: 7 seatsTherefore, State b loses a seat to State a. The New States paradox does not occur because the new state, State c, does not gain a seat at the expense of an original state.

-If the Hamilton Method Is Used to Apportion Legislative Seats