Question

In: Statistics and Probability

A small country consists of seven states. there are 160 states in the legislature that need...

A small country consists of seven states. there are 160 states in the legislature that need to be apportioned among the seven states and the population of each state is shown in the table.

State A B C D E F G

Population 1283 2374 2725 2155 1592 2511 2017

Does the Alabama paradox occur using Hamilton's method if the number of seats is increased from 160 to 161?

Solutions

Expert Solution

Alabama paradox refers to any apportionment scenario where increasing the total number of items would decrease one of the shares.

A B C D E F G Total quotient A B C D E F G
1283 2374 2725 2155 1592 2511 2017 14657 91.60625 14.00559 25.91526 29.74688 23.5246 17.37873 27.41079 22.01815
1283 2374 2725 2155 1592 2511 2017 14657 91.03727 14.09313 26.07723 29.9328 23.67162 17.48734 27.58211 22.15576
A B C D E F G
14 26 30 24 17 27 22
14 26 30 24 17 28 22

No, the Alabama paradox does not occur using Hamilton's method if the number of seats is increased from 160 to 161

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