Is a state with a higher population density likely to have a higher violent crime rate? The

Question:

Is a state with a higher population density likely to have a higher violent crime rate? The following data represent the population density (people per square mile) and violent crime rate (crimes per 100,000 population) for a random sample of states.

Population Density State Crime Rate Alabama 92.8 448 Colorado 48.4 348 Illinois 232.3 533 Kansas 34.5 453 Minnesota 66.2

(a) Do states with higher population densities have higher crime rates at the Î± = 0.05 level of significance?
(b) Draw a scatter diagram to support your conclusion.