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 Click to view the regression table. a) State the standard null and alterative hypotheses for the true coefficient of Graduation Rate. OA. Ho: ParadRate 0 HA: GradRate 0 OB. Ho: ParadRate *0 HA: ParadRate 0 OC. Ho: ParadRate=0 OD. Ho: Paradate=0 HA: GradRate <0 HA: PoradRate #0 b) What is the t-statistic corresponding to this test? The t-statistic is. (Type an integer or a decimal.) c) Why is the t-statistic negative? A. The t-statistic is negative because the coefficient has the smallest standard error. B. The I-statistic is negative because R squared is less than 50%. OC. The 1-statistic is negative because the coefficient is negative. OD. The t-statistic is negative because R squared (adjusted) is less than 50% OO
d) What is the P-value corresponding to this t-statistic? OA. 0.0327 OB. <0.0001 C. 9.12 D. -0.666 e) Test the null hypothesis (at a = 0.05) and state your conclusion. OA. Reject Ho. There is sufficient evidence that the coefficient is different from 0. OB. Reject Ho. There is insufficient evidence that the coefficient is different from 0. OC. Fail to reject Ho. There is sufficient evidence that the coefficient is different from 0. OD. Fail to reject Ho. There is insufficient evidence that the coefficient is different from 0.
Regression Table Dependent variable is: Violent Crime R squared 39.9% R squared (adjusted)=42.2% s129.6 with 37 degrees of freedom Variable ratio Coeff SE (Coeff) 182.5 Intercept 1399.79 7.67 9.12 4.109 2.22 Police Officer Wage Graduation Rate 16.71 2.400 -6.96 Print P-value <0.0001 0.0327 <0.0001 Done 1 X
Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes per 100,000 population
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Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes per 100,000 population
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