In conducting a national analysis of the hypothesis on the effectiveness of the strictness of drunk driving laws, a one-tailed correlation test will be conducted to determine if a negative correlation exists between the two variables. Before conducting the actual statistical analysis, a scatter chart was made in order to help visualize the relationship between the variable. As can be seen in the scatter plot, there is indeed a negative relationship between the variables. However, the relationship is difficult to visualize without the use of a line of best fit which shows the downward trend of the relationship. It works in such a way that as x value or the strictness factor increases, the y value or drunk driving death rate decreases. Given
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The weak correlation demonstrated in the scatter plot is furthered upon conducting the correlation test as the correlation coefficient comes out to -.177 which although is a negative correlation, it is extremely weak. Even more so this extremely weak relationship is not statistically significant when considering that the significance value is .107 which is greater than our alpha value of .05. Finally the r squared value of the test is .031 which essentially means that around 3% of the variation in drunk driving death rates is accounted for by the variation in the strictness of drunk driving laws. So all in all, at it’s base the scatterplot and correlation force the null hypothesis to be retained as there is not statistically significant evidence to suggest …show more content…
In order to do this, a comparative case study was done on Wyoming and New York as they have similar rankings for strictness and yet they have very different drunk driving death rates. To start, a comparison of total land area and total police officers was done between the two states. It was found that in New York, 81,795 police officers are employed for a total land area of 54,555 square miles. While in Wyoming, 2,207 police officers are employed for a land area of 97,813 square miles (U.S. Department of Justice 2011 and U.S. Census- Geography Product Branch 2012). The importance of the differences in these two statistics is that in New York there are roughly 1.5 police officers per square mile while in Wyoming there is not even one police officer per square mile. This idea is furthered when considering that in New York technically speaking a police officer only needs to be responsible for .667 miles if every police officer was employed in this system. While using the same system in Wyoming would mean that each police officer would need to cover 44 square miles. Importantly, in real light a large amount of police officers are concentrated in New York City but the stark differences in these two variable is evident. In relation to drunk driving, it means that
The weak correlation demonstrated in the scatter plot is furthered upon conducting the correlation test as the correlation coefficient comes out to -.177 which although is a negative correlation, it is extremely weak. Even more so this extremely weak relationship is not statistically significant when considering that the significance value is .107 which is greater than our alpha value of .05. Finally the r squared value of the test is .031 which essentially means that around 3% of the variation in drunk driving death rates is accounted for by the variation in the strictness of drunk driving laws. So all in all, at it’s base the scatterplot and correlation force the null hypothesis to be retained as there is not statistically significant evidence to suggest …show more content…
In order to do this, a comparative case study was done on Wyoming and New York as they have similar rankings for strictness and yet they have very different drunk driving death rates. To start, a comparison of total land area and total police officers was done between the two states. It was found that in New York, 81,795 police officers are employed for a total land area of 54,555 square miles. While in Wyoming, 2,207 police officers are employed for a land area of 97,813 square miles (U.S. Department of Justice 2011 and U.S. Census- Geography Product Branch 2012). The importance of the differences in these two statistics is that in New York there are roughly 1.5 police officers per square mile while in Wyoming there is not even one police officer per square mile. This idea is furthered when considering that in New York technically speaking a police officer only needs to be responsible for .667 miles if every police officer was employed in this system. While using the same system in Wyoming would mean that each police officer would need to cover 44 square miles. Importantly, in real light a large amount of police officers are concentrated in New York City but the stark differences in these two variable is evident. In relation to drunk driving, it means that