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) |
t-ratio |
P-value |
|||
---|---|---|---|---|---|---|---|
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 t-statistic corresponding to this test?
_______ (Type an integer or a decimal.)