1. A Vermont study published by the American Academy of Pediatrics examined parental influence on teenagers' decisions to smoke. A group of students who had never smoked were questioned about their parents' attitudes toward smoking. These students were questioned again two years later to see if they had started smoking. The researchers found that, among the 284 students who indicated that their parents disapproved of kids smoking, 54 had become established smokers. Among the 41 students who initially said their parents were lenient about smoking 11 became smokers. Do these data provide strong evidence that parental attitude influences teenagers decisions about smoking? Perform an appropriate hypothesis test and state your conclusion. (a) (3 points) State the hypotheses
(b) (3 points) Calculate the test statistic
(c) (3 points) Calculate the p-value
(d) (3 points) State your conclusion in context to the problem