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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.

  1.  State the standard null and alternative hypotheses for the true coefficient of Police Officer Wage.
  2. What is the t-statistic corresponding to this test?
  3. What is the P-value corresponding to this t-statistic?
  4. Test the null hypothesis (at alpha = 0.05) and state your conclusion.