2. The article ["CSI Effect Has Juries Wanting More Evidence" (USA Today, 2004)](https://usatoday30.usatoday.com/news/nation/2004-08-05-csi-effect_x.htm) examines how the popularity of crime-scene investigation television shows in influencing jurors' expectation of what evidence should be produced at a trial. In a survey of 500 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. i) Assuming that it is reasonable to regard this sample of 500 potential jurors as representative of potential jurors in the US, use the given information to construct and interpret a 95\% confidence interval for the proportion of all potential jurors who regularly watch at least one crime-scene investigation series. ii) Using the same sample proportion as part (i), construct a 95\% confidence interval for same proportion but instead use a sample size of 50. iii) What is the main difference between the confidence intervals computed in part (i) and (ii)? What do you think is the role of the sample size in determining the precision the confidence interval estimate?