Examination of Roadblock Probabilities in Need for Speed Undercover™ By: Johnathon Hein Research Problem As a frequenter of Need for Speed Undercover™, I have wondered where the optimal position is to drive to minimize the possibility of running over a spike strip. I suspect that spike strips are more often located on the left side of the road than on the right. To discover if I am right, I will be collecting a very large sample on the occurrence of different types of roadblocks. Study Description An observational study will be done to compare the proportions of each type of road block encountered. The study will be conducted using a Bugatti Veyron (Painted blue and upgraded with the ultimate packages in all categories) driving only on the highway. Once there is a federal pursuit being conducted by Porsche and/or SUV units, roadblocks of a specific type will be tallied for each time they are encountered. If the driver runs over a spike belt and pops any number of tires, the game will be restarted and the process will start all over again. The types of roadblocks, as shown below are only differentiated by the presence of a spike stripe, the relative location of the spike strip, and the number of cars that constitute the roadblock. The types of the cars in the roadblock, for example Porsche or SUV, will be ignored. If a road block is encountered that contains any number of civic units (appear white) as apposed to federal units (appear black), that road block will not be tallied. Types of Roadblocks Type 1 (Left-oriented spike strip) Type 2 (Right-oriented spike strip) Type 3 (Left-oriented spike strip) Type 4 (No spike strip and 2 cars) Type 5 (No spike strip and 3 or more cars) Type 6 (Center-oriented spike strip) Observations/Data Type of Roadblock Number of Roadblocks encountered 1 2 98 3 82 4 48 5 22 6 48 Spike strip (Types 1,2,3,6) Number of Roadblocks encountered No spike strip (Types 4,5) 238 Left-oriented spike strip (Types 1,3) Number of Roadblocks encountered 10 146 Total Number of roadblocks encountered = 308 70 Right-oriented spike strip (Type 2) 82 Statistical Analysis Determining whether a left-oriented road block is significantly more likely. Ho: π = .5, where π is the proportion of road blocks with spike strips that are left-oriented Ha: π > .5, where π is the proportion of road blocks with spike strips that are left-oriented n = 146 + 82 = 228 T.C. SRS X nπ ≥ 10 n(1-π) ≥ 10 p̂ = 146/228 = .640 228(.5) ≥ 10 X 228(.5) ≥ 10 X 1-Proportion Z-test z = 4.239 p-value = .0000113 I reject the null hypothesis that left- and right-oriented spike strips are equally likely because the pvalue is extremely low at the significance level α = .05 . This study supports the conclusion that leftoriented spike strips are more common in Need for Speed Undercover™. Conclusions in Context This study provides significant evidence that left-oriented spike strip are more common. Therefore, keeping your car on the right side of the road limits the chance of running over a spike strips during a cop chase. It is interesting that the game would be programmed without this kind of variable being completely random, especially since there seems to be no logical reason for the spike strips to be one way or the other.