A statistics student wanted to find out whether gender and the use of turn signals when driving were independent. When driving his truck for several weeks, he noted the gender of each person he observed and whether he or she used the turn signal when turning or changing lanes. A second student collected similar data with a smaller sample size. The data the students collected are shown in the tables below. Complete parts (a) through (d) below. Click the icon to view the first student's data Click the icon to view the second student's data. a. From the first student's data, what percentage of men used turn signals, and what percentage of women used them? 59.6 % of men used turn signals, and 70.2 % of women used them. (Round to one decimal place as needed.) b. From the first student's data, assuming the conditions are met (although admittedly this was not a random selection), find a 95% confidence interval for the difference in percentages (men - women). State whether the interval captures 0, and explain whether this provides evidence that the proportions of men and women who use signals differ in the population. The 95% confidence interval for the difference in percentages (men - women) is ( - 15.4 %, - 5.8 %). (Round to one decimal place as needed.) The interval does not capture 0, suggesting that it is not plausible that the proportions of men and women who use turn signals are the same in the population. Since the boundary values are both negative, we can conclude that women use turn signals with greater likelihood than the other gender. c. From the second student's data, first find the percentage of men and the percentage of women who used turn signals, and then, assuming the conditions are met, find a 95% confidence interval for the difference in percentages. State whether the interval captures 0, and explain whether this provides evidence that the percentage of men who use turn signals differs from the percentage of women who do so. 59.3 % of men used turn signals, and 70.0 % of women used them. (Round to one decimal place as needed.) The 95% confidence interval for the difference (men - women) is (% %) . - X -X First student's turn signal data Second student's turn signal data .....: Men Women Men Women Turn signal 543 424 Turn signal 54 42 No signal 368 180 No signal 37 18 Total 911 604 Total 91 60 Print Done Print Done