In: Statistics and Probability
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 considering the coefficient of Police Officer Wage. Complete parts a through d.
Dependent variable is: Violent Crime
R squareds=39.8 % R squared (adjusted)equals=42.1% s=129.6 with 37 degrees of freedom
Variable 
Coeff 
SE (Coeff) 
tratio 
Pvalue 


Intercept 
1388.04 
185 
.6 
7.48 
< 
0.0001 

Police Officer Wage 
9.43 
4 
.271 
2.21 
0.0335 

Graduation Rate 
−16.54 
2 
.500 
−6.62 
< 
0.0001 
a) State the standard null and alternative hypotheses for the true coefficient of Police Officer Wage
A) Ho: βOfficer=0
HA: βOfficer>0
B. H0: β Officer does not equal≠0
HA: β Officer=0
C. H0: βOfficer =0
HA: βOfficer<0
D. H0: βOfficer=0
HA: βOfficer≠0 Your answer is correct.
b) What is the tstatistic corresponding to this test?
_______ (Type an integer or a decimal.)