(a) Explanation Given: The original and new populations for a country of five states are provided. State Original Population(in thousands) New Population(in thousands) A 2224 2424 B 2236 2436 C 2640 2740 D 3030 3130 E 9870 10070 Total 20000 20800 Formula used: Standard divisor = Total population Number of allocated items Standard quota = Population of a particular group Standard divisor Modified quota = population of each state d Calculation: Consider 200 seats of Congress to be apportioned. First compute the standard divisor. The formula for standard divisor is defined as: Standard divisor = total population number of allocated items The total original population is provided as 20,000 thousands and the number of seats is 200. So, Standard divisor = total original population number of seats = 20 , 000 200 = 100 The obtained standard divisor of 100 thousands represents average of original population per seat. Now use the Hamilton’s method to compute the apportionment of seats. Calculate the standard quota for each state. The formula for standard quota is defined as: Standard quota = population of a group standard divisor Substitute the populations of each state and obtained standard divisor of 100 thousands in the above-defined formula (b) To determine To calculate: The increased percent of the population of five states. (c) To determine To calculate: Whether Population paradox occurs by apportionment of 200 congress seats for new population using Hamilton’s method.

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Chapter 13.4, Problem 6E

(a)

To determine

To calculate: The apportionment of 200 congress seats for the original population with Hamilton’s method.

(b)

To determine

To calculate: The increased percent of the population of five states.

(c)

To determine

To calculate: Whether Population paradox occurs by apportionment of 200 congress seats for new population using Hamilton’s method.

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Chapter 13.4, Problem 5E

Chapter 13.4, Problem 7E

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The apportionment of 200 congress seats for the original population with Hamilton’s method.

Solution Summary: The author calculates the apportionment of 200 congress seats for the original population with Hamilton's method to five states.

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To calculate: The apportionment of 200 congress seats for the original population with Hamilton’s method.

To calculate: The increased percent of the population of five states.

To calculate: Whether Population paradox occurs by apportionment of 200 congress seats for new population using Hamilton’s method.

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Chapter 13 Solutions