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An Elections Officer Wants to Model Voter Turnout (Y) in a Precinct

question 85

Short Answer

An elections officer wants to model voter turnout (y) in a precinct as a function of the type of precinct. Consider the model relating mean voter turnout, E(y), to precinct type: $E ( y ) = \beta _ { 0 } + \beta _ { 1 } x _ { 1 } + \beta _ { 2 } x _ { 2 }$ , where $x _ { 1 } = 1$ if urban, 0 if not
$\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $x _ { 2 } = 1$ if suburban, 0 if not
$\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ (Base level $=$ rural)

The $p$ -value for the test $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0$ is .14. Interpret the restll.
A) Do not reject $H _ { 0 }$ at $\alpha = .10$ ; there is no evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.
B) Reject $H _ { 0 }$ at $\alpha = .10$ ; the model is useful for predicting voter turnout.
C) Reject $H _ { 0 }$ at $\alpha = .01$ ; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.
D) Reject the model since it only explains $14 \%$ of the variation.

Definitions:

Assembly Department

A section within a manufacturing facility where components are assembled into finished products, an essential part of the production process.

First-In, First-Out Method

An inventory valuation method that assumes the first items acquired are the first ones sold, which is often used to calculate cost of goods sold.

Process Costing

A costing method used in manufacturing where costs are allocated to batches or process levels, suitable for standardized products.

Work in Process Inventory

The value of unfinished goods in the production process at a specific point in time.