England Journal of article by Dr. Douglas Jorenby and colleagues comparing different treatments to help patients stop smoking. Two of the four treatments were a placebo and a nicotine patch. The subjects were treated and the number of subjects not smoking after 6 months was recorded. The results are summarized in the table below: Subjects participating Subjects not smoking Treatment Placebo 160 Nicotine Patch 244 After Six Months 30 52 Note that, using the above data, a 95% confidence interval for the proportion of patients using a placebo who were not smoking 6 months later is 0.127 < p < 0.248. a. Calculate the 95% confidence interval for the proportion of patients using a nicotine patch who were not smoking 6 months later. Show all work. Round to 3 decimal places. (8 pts.) b. Using a scale appropriate for the two confidence intervals, draw the two confidence intervals for the placebo and the nicotine patch on a number line. Label each so that they can be distinguished from each other. Use a ruler and