Difference of Means Hypothesis Tests (comparing groups) On STATA (using the example data sets): Use the difference of means tests to answer the following questions by comparing the fol- lowing outcomes amongst the specified groups. Present your Null and Alternative hypothesis formally, draw your decision rule, convert your hypothesis to be in STATA-format, and then finally interpret your result from the data: give the p-values and state whether the Null is rejected, or if you fail to reject the null; interpret your decision in words. 1a. Are homicide rates different in states with higher than median divorce rates (Hint: two groups are 1. States with lower than median divorce rates, 2. States with higher than median divorce rates.) 1b. Explain using a path-diagram the model (causal? correlative?) that this correlation might be used to add supporting evidence of