Use the Following Information to Answer the Questions $\quad$

question 71

Multiple Choice

Use the following information to answer the Questions:
Twenty-nine voters must choose from among three alternatives: A, B, and C. The voters' preference schedules are shown below. $\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\quad$$\text { Number of voters }$
$\begin{array} { l c c c c } & 12 & 8 & 6 & 3 \\\text { First choice } & \mathrm { B } & \mathrm { C } & \mathrm { A } & \mathrm { C } \\\text { Second choice } & \mathrm { C } & \mathrm { A } & \mathrm { B } & \mathrm { B } \\\text { Third choice } & \mathrm { A } & \mathrm { B } & \mathrm { C } & \mathrm { A }\end{array}$
-C wins in a Borda count. Can the 12 voters in the first column change their preference list to produce an outcome they like better?

• A) No, C will always win.
• B) Yes, they can rank A, C, B.
• C) Yes, they can rank B, A, C.
• D) Yes, they can rank C, A, B.

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Definitions:

Confidence Interval

A confidence interval is a range of values, derived from sample statistics, used to estimate the true value of a population parameter with a certain degree of confidence.

Normally Distributed

Describes a type of continuous probability distribution for a real-valued random variable where the data forms a symmetric, bell-shaped curve about the mean.

Variances Assumed

A condition in statistical analysis where it is presumed that the variances of two or more populations are equal, important in certain tests like ANOVA.

Independent Random Samples

Samples selected from a population in such a way that each individual has the same chance of being selected, and the selection of one individual does not affect the selection of another.