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

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.