-If the Hamilton Method Is Used to Apportion Legislative Seats

question 31

Multiple Choice

$\begin{array} { l | c c c c c } \text { State } & \mathrm { a } & \mathrm { b } & \mathrm { c } & \mathrm { d } & \mathrm { e } \\\hline \text { Population } & 131 & 140 & 304 & 178 & 197\end{array}$
-If the Hamilton Method is used to apportion legislative seats to two original states and a new state with the populations given in the table (in thousands) , then one of the states loses a seat to another If the original number of seats being apportioned is 48. $$\begin{array} { l | c c c } \text { State } & \text { Original State a } & \text { Original State b } & \text { New State c } \\\hline \text { Population } & 844 & 3956 & 724\end{array}$$ Which state loses a seat to which state, and does the New States paradox occur?

• A)b loses a seat to a, yes
• B)b loses a seat to a, no
• C)a loses a seat to b, no
• D)a loses a seat to b, yes

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Definitions:

P > .05

A statistical expression indicating that the probability of the observed data, or something more extreme, if the null hypothesis is true, is greater than 5%.

Null Hypothesis

The default assumption in statistical hypothesis testing that there is no significant effect or difference, intended to be challenged by the alternative hypothesis.

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution, which affects the calculation of statistical estimates.

T-test for Dependent Means

A statistical test used to compare the means of two related groups.