Interactive Statistics Q.11.34

11.34 Back in 1968, George Wallace and his supporters were strongly committed to strict law enforcement. A group of sociologists in Nashville, Tennessee conducted a survey to assess if Wallace supporters actually practiced what they preached. A county law had been passed that required local vehicles to display a $15 "Metro sticker" on the windshield. The sociolo- gists made spot checks at various parking lots over several days. They recorded the number of cars in support of each candidate (based on factors such as displaying a bumper sticker for a candidate) and how many of them had the required sticker. These data are provided in the following table (Source: "Wallace Supporters and Adherence to 'Law and Order'," by Lawrence S. Wrightman, in Human Social Behavior, Dorsey Press, Homewood, III., 1971): In Support of Number of Cars Number with Metro Sticker MML Wallace 361 270 Humphrey 178 154 (a) The sociologists were interested in testing if p1, the proportion of Wallace supporters in compliance, differed from p2, the proportion of Humphrey supporters. State the hypotheses more formally in terms of p, and p2. ol sill 2510690 -(b) What proportion of Wallace supporters sampled were in compliance? What proportion of Humphrey supporters sampled were in compliance? Isfound (c) Test the hypotheses in part (a) using a 1% significance level. Provide your conclusion in words