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A statistics student wanted to nd out whether gender and the use of turn signals when driving were independent. When driving his truck for several
A statistics student wanted to nd 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. a Click the icon to view the rst student's data. E Click the icon to view the second student's data. a. From the rst student's data, what percentage of men used turn signals, and what percentage of women used them? 55.6 % of men used turn signals, and 68 % of women used them. (Round to one decimal place as needed.) b. From the rst student's data, assuming the conditions are met (although admittedly this was not a random selection), nd a 95% condence 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% condence interval for the difference in percentages (men - women) is ( |%,| "/0) . (Round to one decimal place as needed.) First Student's Turn Signal Data Second Student's Turn Signal Data Men Women Turn signal 494 416 Turn signal No signal 394 196 No signal Total Total
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