8.35 Murders and poverty, Part II. Exercise 8.25 presents regression output from a model for predicting annual murders per million from percentage living in poverty based on a random sample of 20 metropolitan areas. The model output is also provided below.

Estimate Std. Error t value Pr(>|t|) (Intercept) -29.901 7.789 -3.839 0.001

poverty% 2.559 0.390 6.562 0.000

s = 5.512 R² = 70.52% R²

= 68.89%

1. What are the hypotheses for evaluating whether poverty percentage is a significant predictor of murder rate?
2. State the conclusion of the hypothesis test from part (a) in context of the data.
3. Calculate a 95% confidence interval for the slope of poverty percentage, and interpret it in context of the data.

(d) Do your results from the hypothesis test and the confidence interval agree? Explain.