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:

The $p$-value for the test $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0$ is .14. Interpret the result.
A) Reject $H _ { 0 }$ at $\alpha = .10$; the model is useful for predicting voter turnout.
B) Reject the model since it only explains $14 \%$ of the variation.
C) 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.
D) Reject $H _ { 0 }$ at $\alpha = .01$; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.

Question

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:

The $p$-value for the test $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0$ is .14. Interpret the result.
A) Reject $H _ { 0 }$ at $\alpha = .10$; the model is useful for predicting voter turnout. 
B) Reject the model since it only explains $14 \%$ of the variation. 
C) 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. 
D) Reject $H _ { 0 }$ at $\alpha = .01$; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.

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The Answer of 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:

The $p$-value for the test $H _ { 0 } : \beta _ { 1 } = \beta _ { 2 } = 0$ is .14. Interpret the result.
A) Reject $H _ { 0 }$ at $\alpha = .10$; the model is useful for predicting voter turnout. 
B) Reject the model since it only explains $14 \%$ of the variation. 
C) 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. 
D) Reject $H _ { 0 }$ at $\alpha = .01$; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.

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