Consider the Following Preference Table for Four Voters If a Borda Count Is Used, Can the Second Voter

question 58

True/False

Consider the following preference table for four voters: $$\begin{array} { l l l l l } \text { First choice } & \text { B } & \text { D } & \text { D } & \text { C } \\\text { Second choice } & \text { C } & \text { B } & \text { A } & \text { A } \\\text { Third choice } & \text { A } & \text { C } & \text { B } & \text { B } \\\text { Fourth choice } & \text { D } & \text { A } & \text { C } & \text { D }\end{array}$$ If a Borda count is used, can the second voter manipulate the outcome so that D wins?

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Definitions:

Chi-Squared Distribution

A statistical distribution used in hypothesis testing that is derived from the sum of the squares of independent standard normal random variables.

Positively Skewed

Refers to a distribution of data where the tail on the right side of the distribution is longer or fatter than the left side, indicating that the majority of the data points are concentrated on the left.

Degrees of Freedom

The number of independent pieces of information available to estimate another piece of information or the parameter in a model.

Number

An arithmetic value that represents a particular quantity and is used in counting and making calculations.