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Use the following information to answer the Questions
Suppose that 17 voters have ideal points as given in the following table.  Ideal points 0123456 Number of  voters 1235321\begin{array} { | l | c | c | c | c | c | c | c | } \hline \text { Ideal points } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\\hline \begin{array} { l } \text { Number of } \\\text { voters }\end{array} & 1 & 2 & 3 & 5 & 3 & 2 & 1 \\\hline\end{array} Candidate A announces a policy position of 1 and Candidate B announces a policy position of 5.
-Is there a 2/3-separation opportunity for a third Candidate C to enter the race?


Definitions:

Degrees of Freedom

The number of independent values or quantities which can vary in the analysis without violating any constraints.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, often representing the number of values that are free to vary.

Test Statistic

A calculated value used in statistical testing to determine whether to reject the null hypothesis.

P-Value

The probability of observing test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct.

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