An elections officer wants to model voter turnout (y) in a precinct as a functio

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:

E(y) = 0 + 1x1 + 2x2, where x1 = 1 if urban, 0 if not x2 = 1 if suburban, 0 if not (Base level = rural)

The p-value for the test H0: 1 = 2 = 0 is .14. Interpret the result.

A. Reject H0 at = .10; the model is useful for predicting voter turnout.

B. Reject H0 at = .01; there is evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.

C. Reject the model since it only explains 14% of the variation.

D. Do not reject H0 at = .10; there is no evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts.

Explanation / Answer

The p-value is 0.14 which is > alpha (0.10 and 0.01) . Therefore, we accept H0.

Option (D) is correct.

i.e.there is no evidence of a difference between the mean voter turnouts for urban, suburban, and rural precincts..

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