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 consider the coefficient of Graduation Rate. Complete parts a through e.

Dependent variable is: Violent Crime

R squared = 35.6% R squared (adjusted) = 37.6%

s = 129.6 with 37 degrees of freedom

Variable CoeffSE (Coeff) t-ratio P-value

Intercept 1377.34 185.1 7.44 <0.0001

Police Officer Wage 9.42 4.1392.28 0.0287

Graduation Rate -16.432.800 -5.87 <0.0001

a) State the standard null and alternative hypotheses for the true coefficient of Graduation Rate.

A. H0:GradRateequals=0

HA:GradRatenot equals0

B. H0:GradRateequals=0

HA:GradRategreater than>0

C. H0:GradRatenot equals0

HA:GradRateequals=0

D. H0: GradRateequals=0

HA:GradRateless than<0

b) What is thet-statistic corresponding to thistest?

Thet-statistic is jQuery20009157236664776085_1512881460546??. (Type integer or adecimal.)

c) Why is thet-statistic negative?

A. Thet-statistic is negative because R squared(adjusted) is less than50%.

B. Thet-statistic is negative because the coefficient is negative.

C. Thet-statistic is negative because R squared is less than50%.

D. Thet-statistic is negative because the coefficient has the smallest standard error.

d) What is theP-value corresponding to thist-statistic?

A. 0.694

B. <0.0001

C. 0.0287

D. 9.42

e) Test the null hypothesis(at alphaequals=0.05) and state your conclusion.

A. Reject Upper H0. There is insufficient evidence that the coefficient is different from 0.

B. Fail to reject Upper H0. There is insufficient evidence that the coefficient is different from 0.

C. Reject Upper H0. There is sufficient evidence that the coefficient is different from 0.

D. Fail to reject Upper H0. There is sufficient evidence that the coefficient is different from 0.