Data were gathered from a simple random sample of cities. The variables are Violent Crime? (crimes per? 100,000 population), Police Officer Wage? (mean $/hr), and Graduation Rate? (%). Use the accompanying regression table to answer the following questions consider the coefficient of Graduation Rate. Complete parts a through e.

Dependent variable is: Violent Crime

R squared = 40.9% R squared (adjusted) = 43.2%

S = 129.6 with 37 degrees of freedom

Variable Coeff SE (Coeff) t-ratio P-value

Intercept 1393.79 181.700 7.67 <0.0001

Police Officer Wage 9.16 4.259 2.15 0.0381

Graduation Rate - 16.54 2.400 - 6.89 <0.0001

a) State the standard null and alternative hypotheses for the true coefficient of Graduation Rate.

b) What is the? t-statistic corresponding to this? test?

c) Why is the? t-statistic negative?

d) What is the? P-value corresponding to this? t-statistic?

e) Test the null hypothesis? (at ? =?0.05)and state your conclusion.