Exam 17: The Nature of Voting and Apportionment

Apportion the indicated number of representatives to three states, A, B, and C, using Hamilton's plan. Next, use the revised populations to reapportion the representatives. Decide whether the population paradox occurs.

(Multiple Choice)

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Question 41

Consider an election with three candidates with the results: Is there a majority winner? If not, who is the plurality winner? Answer No, B; Yes, A; No, A; No, C; or Yes, B. Who wins the election using the Borda count method? Answer B; A; C and B tie; C; or A and B tie. Who wins if they first eliminate the one with the most last-place votes and then have a runoff between the other two? Answer B; A; C and B tie; C; or A and B tie. Could the two voters with preference (BCA) change the outcome of the election in previous question if they voted insincerely and pretended to have the preference (BAC)? Answer yes or no.

(Short Answer)

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Question 42

A group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: Who wins using the Borda count method? Does this violate the Condorcet criterion?

(Multiple Choice)

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Question 43

Apportion the indicated number of representatives to three states, A, B, and C, using Hamilton's plan. Next, use the revised populations to reapportion the representatives. Decide whether the population paradox occurs. __________ (A illustrates population paradox.; B illustrates population paradox.; C illustrates population paradox.; B and C illustrate population paradox.; The paradox does not occur.)

(Short Answer)

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Question 44

Apportion the indicated number of representatives to two states, A, and B, using Hamilton's plan. Next, recalculate the apportionment using Hamilton's plan for the three states, C and the original states. Decide whether the new states paradox occurs. __________ (A illustrates the new states paradox.; B illustrates the new states paradox.; C illustrates the new states paradox.; A and B illustrate the new states paradox.; The paradox does not occur.)

(Short Answer)

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Question 45

Use Jefferson's plan. Which state does violate the quota rule? Number of seats: 200 __________ (A, B, C, D, E, none)

(Short Answer)

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Question 46

If there are 190 voters and 4 candidates, how many total points would there be in a Borda count?

(Multiple Choice)

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Question 47

Use Hamilton's plan to apportion the new seats to the existing states. Then increase the number of seats by one and decide whether the Alabama paradox occurs. Assume that the populations are in thousands. Number of seats: 81 __________ (A illustrates Alabama paradox.; B illustrates Alabama paradox.; C illustrates Alabama paradox.; D illustrates Alabama paradox.; The Alabama paradox does not occur.)

(Short Answer)

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Question 48

In the race for the governor of Vermont, the state vote was as follows: Was there a majority winner in this election, and if so, who was it?

(Short Answer)

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Question 49

In voting among three candidates, the outcomes are reported as: Determine the winner, if any, using Hare method. Answer A, B, C, or none of them.

(Short Answer)

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Question 50

A focus group of 40 people for ABC TV were asked to rank the government spending priorities of education (E), military spending (M), health care (H), immigration (I), and lowering taxes (T). Here are the preferences: Who is the winner using the pairwise comparison method? Answer E, M, H, I, or T.

(Short Answer)

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Question 51

Find the standard divisor (to two decimal places) for the given population and number of representative seats. Population # seats 140,000 9

(Multiple Choice)

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Question 52

Showing 41 - 52 of 52

Apportion the indicated number of representatives to three states, A, B, and C, using Hamilton's plan. Next, use the revised populations to reapportion the representatives. Decide whether the population paradox occurs.

A group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: Who wins using the Borda count method? Does this violate the Condorcet criterion?

Use Jefferson's plan. Which state does violate the quota rule? Number of seats: 200 __________ (A, B, C, D, E, none)

If there are 190 voters and 4 candidates, how many total points would there be in a Borda count?

In the race for the governor of Vermont, the state vote was as follows: Was there a majority winner in this election, and if so, who was it?

In voting among three candidates, the outcomes are reported as: Determine the winner, if any, using Hare method. Answer A, B, C, or none of them.

A focus group of 40 people for ABC TV were asked to rank the government spending priorities of education (E), military spending (M), health care (H), immigration (I), and lowering taxes (T). Here are the preferences: Who is the winner using the pairwise comparison method? Answer E, M, H, I, or T.

Find the standard divisor (to two decimal places) for the given population and number of representative seats. Population # seats 140,000 9

The Nature of Problem Solving

The Nature of Sets

The Nature of Logic

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

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Exam 17: The Nature of Voting and Apportionment

Apportion the indicated number of representatives to three states, A, B, and C, using Hamilton's plan. Next, use the revised populations to reapportion the representatives. Decide whether the population paradox occurs. ​ ​

A group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: ​ Who wins using the Borda count method? Does this violate the Condorcet criterion? ​

Use Jefferson's plan. Which state does violate the quota rule? Number of seats: 200 ​ ​ __________ (A, B, C, D, E, none)

If there are 190 voters and 4 candidates, how many total points would there be in a Borda count? ​

In the race for the governor of Vermont, the state vote was as follows: ​ Was there a majority winner in this election, and if so, who was it?

In voting among three candidates, the outcomes are reported as: ​ Determine the winner, if any, using Hare method. Answer A, B, C, or none of them.

Find the standard divisor (to two decimal places) for the given population and number of representative seats. Population # seats 140,000 9 ​​

The Nature of Problem Solving

The Nature of Sets

The Nature of Logic

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

Filters

Apportion the indicated number of representatives to three states, A, B, and C, using Hamilton's plan. Next, use the revised populations to reapportion the representatives. Decide whether the population paradox occurs.

A group of fun-loving people have decided to play a practical joke on one of their friends, but they can't decide which friend, Alice (A), Betty (B), or Connie (C). Their preferences are: Who wins using the Borda count method? Does this violate the Condorcet criterion?

Use Jefferson's plan. Which state does violate the quota rule? Number of seats: 200 __________ (A, B, C, D, E, none)

If there are 190 voters and 4 candidates, how many total points would there be in a Borda count?

In the race for the governor of Vermont, the state vote was as follows: Was there a majority winner in this election, and if so, who was it?

In voting among three candidates, the outcomes are reported as: Determine the winner, if any, using Hare method. Answer A, B, C, or none of them.

Find the standard divisor (to two decimal places) for the given population and number of representative seats. Population # seats 140,000 9