Data were gathered from a simple random sample of cities. The variables are Viol

Question

Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes per 100.000 population). Police Officer Wage (mean S/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. Click to view the regression table. a) State the standard null and alternative hypotheses for the true coefficient of Graduation Rate. A. H_0: Beta_GradRate = 0 H_A: Beta_GradRate notequalto 0 B. H_0: Beta_GradRate = 0 H_A: Beta_GradRate 0 D. H_0: Beta_GradRate notequalto 0 H_A: Beta_GradRate

Explanation / Answer

Ans: a) Option A is correct.

(If there is a significant linear relationship between the independent variable X and the dependent variable Y, the slope will not equal zero.

H0: 1 = 0
Ha: 1 0)

b)t-statistic

t=b1/SE

t=-16.54/2.4=-6.89

c)Option A is true.(t score is negative beacuse cofficeint is negative.)

d)Option D is correct.(p-value is <0.0001)

e)Option B is correct.(As,p-value<0.05,we reject null hypothesis.So,We have sufficient evidence that cofficient is different from zero.)

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