##### Question

In: Statistics and Probability

# Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes...

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

−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

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

_______ (Type an integer or a decimal.)

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