If the population of state A is twice the population of state B, then the Hamilton-Hare apportionment method guarantees that A gets twice as many seats as state B.

Question

If the population of state A is twice the population of state B, then the Hamilton-Hare apportionment method guarantees that  A gets twice as many seats as state B.

BlackTom AI · Accepted Answer

The statement presents a claim about the Hamilton-Hare (largest remainder) apportionment method.
Option 1: True. Under Hamilton-Hare, seats are allocated based on quotas proportional to population, then floors are taken and remaining seats assigned by largest remainders. If state A's population is exactly twice that of state B (p_A = 2 p_B), then their quotas satisfy q_A = 2 q_B. However, simply having a ratio of quotas does not guarantee that the final seat count will maintain exactly a 2:1 ratio after floors and remainder distribution; the integer rounding can produce either exactly twice as many seats (in some cases) or more than twice as many seats for A depending on the fractional parts.
Option 2: False. In fact, the proportional relationship at the quota level does not guarantee a strict 2:1 seat ratio after applying the largest remainder procedure. If q_B = x (with fractional part), q_A = 2x. After flooring, you get a_A = floor(2x) and a_B = floor(x). The value floor(2x) can equal 2 floor(x) or 2 floor(x) + 1 if the fractional part of x induces an extra remainder favorable to A. Consequently, A may end up with exactly twice as many seats or more than twice, but not guaranteed to be exactly double in all cases.
Option 3: (Not applicable here due to there being only two options in a true/false question, but if considered, one would analyze edge cases where additional distributions could alter the ratio.)
Option 4: (Similarly, any extra distinctions would hinge on edge cases of fractional parts and total seats, but the core point remains that the guarantee does not hold uniformly.)
In summary, because the largest remainder method can allocate an extra seat to A based on remainders, the claim that A is guaranteed to receive exactly twice as many seats as B is incorrect.

If the population of state A is twice the population of state B, then the Hamilton-Hare apportionment method guarantees that A gets twice as many seats as state B. 判断题

类似问题

Is the following statement true or false? In the products of methylation-hydrolysis, every -OH group corresponds to the position of a glycosidic bond in the starting polysaccharide.

Which of the follwoing structures represents amylopectin?

Which of the following is true about an aldopentose?I. It is a monosaccharide.II. It contains a CHO groupIII. It is a disaccharide.IV. It is an oligosaccharide.

For stock A, we have 𝛽 𝑖 = 0.70. Suppose the expected market risk premium next year is 9% and the risk-free rate is 3%. What is the expected return of this stock based on the CAPM? (Please answer in % and round to 2 decimal places. If the answer is 8.057%, then in the box, write 8.06)

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单