Problem 2: (12pts) A 2017 study investigated why people cross the street on red lights (a) The authors observed intersections in France and Japan (assume the samples were randomly selected and independent). They found that 1599 out of 3814 French pedestrians crossed at a red light, while only 37 out of 1631 Japanese pedestrians did. Test the claim that pedestrians in the two countries have different street-crossing behaviors. Set your own significance level. b) At a train station in Nagoya, Japan, they recorded the mean road-crossing speed of a random sample of 20 pedestrians to be 1.10 m/s, with a sample standard deviation of 0.22 m/s. Construct and interpret a 95% confidence interval for the population mean road-crossing speed at this inter