The following problems represent good practice for your Final on Dec. 15th. The class on Dec. 15th will start with me answering all of your questions about this assignment. 1) 2 Proportion Z Test A state policeman has a pet theory that people who drive red cars are more likely to drive too fast. On his day off, he borrows one of the department's radar guns, parks his car in a rest area, and measures the proportion of red cars and non-red cars that are driving too fast. (He decides ahead of time to define \"driving too fast\" as exceeding the speed limit by more than 5 miles per hour). To produce a random sample, he rolls a die and only includes a car in his sample if he rolls a 5 or a 6. He finds that 18 of 28 red cars are driving too fast, and 75 of 205 other cars are driving too fast. (a) Is this convincing evidence that people who drive red cars are more likely to drive too fast, as the policemen has defined 1t? Support your conclusion with a test of significance, using a=0.05