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 considers 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	12393.79	181.7	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

Dependent variable is:

Violent Crime R squared = 40.9% R squared (adjusted) = 43.2% s-129.6 with 37 degrees of freedom Coeff SE (Coeff) t-ratio P-value 1393.79181.7 Variable Intercept Police Officer Wage9.16 Graduation Rate 7.67 <0.0001 0.0381 -6.89 < 0.0001 4.259 2.400 2.15 - 16.54

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.