Application of Hamilton and Huntington-Hill formulas to determine number of seats for each state, math homework help

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Mathematics

Description

Assignment 2 Grading Criteria

Maximum Points

Assignment Components

Application of Hamilton and Huntington-Hill formulas to determine number of seats for each state.

Analysis of those results to determine state average constituency.

44

Analysis of results from above to determine if Alabama paradox occurred.

44

Analysis of state boundaries and population effects on representational balance.

48

Evaluation of the apportionment methods.

48

Proposed solution to achieve fair representation.

48

Writing Components

Organization—Introduction,Thesis,Transitions,Conclusion

20

Usage and Mechanics—Grammar, Spelling, Sentence structure

32

APA Elements—Attribution, Paraphrasing, Quotations

8

Style—Audience, Word Choice

8

Total:

300

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Assignment 1: LASA 2: The Apportionment Problem You are a census officer in a newly democratic nation and you have been charged with using the census data from the table below to determine how 100 congressional seats should be divided among the 10 states of the union. State 1 2 3 4 5 6 7 8 9 10 Population 15475 35644 98756 88346 369 85663 43427 84311 54730 25467 Being a fan of United States history, you are familiar with the many methods of apportionment applied to this problem to achieve fair representation in the US House of Representatives. You decide that apportionment (chapter 11, sections 1-4 in your textbook) is the best approach to solving this problem, but need to compare several methods and then determine which is actually fair. 1. Using the Hamilton method of apportionment, determine the number of seats each state should receive. 2. Using the numbers you just calculated from applying the Hamilton method, determine the average constituency for each state. Explain your decision making process for allocating the remaining seats. 3. Calculate the absolute and relative unfairness of this apportionment. 4. Explain how changes in state boundaries or populations could affect the balance of representation in this congress. Provide an example using the results above. 5. How and why could an Alabama Paradox occur? 6. Explain how applying the Huntington-Hill apportionment method helps to avoid an Alabama Paradox. 7. Based upon your experience in solving this problem, do you feel apportionment is the best way to achieve fair representation? Be sure to support your answer. 8. Suggest another strategy that could be applied to achieve fair representation either using apportionment methods or a method of your choosing. You may perform your own calculations or use either the Excel spreadsheet or the Excel 2013 Spreadsheet to assist you. You must show some calculations in your document to demonstrate that you know how to perform these tasks. Be sure to compile your work in a Word document and submit it to the M5: Assignment 1 Dropbox by Monday, August 7, 2017. Assignment 2 Grading Criteria Assignment Components Application of Hamilton and Huntington-Hill formulas to determine number of seats for each state. Analysis of those results to determine state average constituency. Maximum Points 44 Analysis of results from above to determine if Alabama paradox occurred. Analysis of state boundaries and population effects on representational balance. Evaluation of the apportionment methods. Proposed solution to achieve fair representation. Writing Components Organization—Introduction,Thesis,Transitions,Conclusion Usage and Mechanics—Grammar, Spelling, Sentence structure APA Elements—Attribution, Paraphrasing, Quotations Style—Audience, Word Choice Total: 44 48 48 48 20 32 8 8 300
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Explanation & Answer

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Running head: Apportionment

1

Apportionment:
Name:
Institution affiliation:
Date:

Apportionment

2

Introduction
The representation of citizens in the House of Representatives is usually dependant on the
population size of people in a given state. There exist several methods that aid in the
determination of the number of seats that each state ought to have. Among them we have the
Hamilton appointment method as well as the Huntington-Hill method. All these methods
employed usually have pros as well as cons. For this case several methods will be examined in
order to determine their suitability as well as shortcomings associated with them when they are
utilized to allocate representatives of states. Additionally, the methods will be compared to other
to determine the best method to use.
1) Hamilton method of apportionment
Hamilton 1st
State

Population numbers

Allocation

Remaining

2nd

Total

Average

Decimal

Allocation

Seats

constituency

Deviation

1

15475

2.908

2

0.908

1

3

5158

164

2

35644

6.698

6

0.698

1

6

5940

230

3

98756

18.557

18

0.557

18

5486

165

4

88346

16.601

16

0.601

17

5197

125

5

369

0.069

0

0.069

1

369

5322

6

85663

16.096

16

0.096

16

5354

32

7

43427

8.160

8

0.160

8

5428

106

8

84311

15.842

15

0.842

16

5269

52

9

54730

10.284

10

0.284

10

5473

151

10

25467

4.785

4

0.785

5

5093

228

Total

532188

95

1

1

1

100

Apportionment

3

Hamilton numbers (HN) are obtained by taking the total population of the state you want
to determine the number and then dividing it by the population of the nation. The value obtained
is the multiplied by 100
E.g. state 1
HN = (15475/532188)*100= 2.908
State 2
HN= (35644/532188)*100= 6.698
State 3
HN= (98756/532188)*100= 18.557
The ...


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