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

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.)

Solutions

Expert Solution



Related Solutions

A record of violent crimes for a random sample of cities from the list of U.S....
A record of violent crimes for a random sample of cities from the list of U.S. cities with the fewest crimes is shown below. At significance level 0.05, is there sufficient evidence to indicate a relationship between the city and the type of crime committed? (Contingency table ) Forcible Rape Robbery Aggravated assault Cary, NC 14 35 70 Amherst, NY 10 33 76 Simi Valley, CA 14 37 77 Norman, OK 47 36 53
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.1 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.3 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population) x1: New England Crime Rate 3.5 3.7 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.9 4.3 4.5 5.1 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.5 3.7 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.3 4.7 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.3 4.7 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.4 3.6 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.8 4.5 4.4 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.5 3.9 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.7 4.3 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 x1 = 3.55 s1 = .83...
A random sample of n1 = 10 regions in New England gave the following violent crime...
A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.5 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.1 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT