Q. A recent report determined that although only three percent of drivers on Maryland highways equipped their vehicles with radar detectors, thirty-three percent of all vehicles ticketed for exceeding the speed limit were equipped with them. Clearly, drivers who equip their vehicles with radar detectors are more likely to exceed the speed limit regularly than are drivers who do not.
The conclusion drawn above depends on which of the following assumptions?
(A) Drivers who equip their vehicles with radar detectors are less likely to be ticketed for exceeding the speed limit than are drivers who do not.
(B) Drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed.
(C) The number of vehicles that were ticketed for exceeding the speed limit was greater than the number of vehicles that were equipped with radar detectors.
(D) Many of the vehicles that were ticketed for exceeding the speed limit were ticketed more than once in the time period covered by the report.
(E) Drivers on Maryland highways exceeded the speed limit more often than did drivers on other state highways not covered in the report.
OA is [spoiler](B)[/spoiler]. Could someone explain please?
Thanks,
Rohit.
Radar Detectors
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We're told that although only 3 percent of people have radar detectors, 33 percent of people ticketed for speeding have them. Based on this, the author concludes that those with radar detectors are more likely to speed.
What if drivers who are not ticketed for speeding, are more likely to speed than drivers who are ticketed for speeding. It's possible that those people who are speeding, but not ticketed for speeding, would not own radar detectors. If that were the case, then the conclusion stating that those who own radar detectors are more likely to speed is no longer valid.
So, for the conclusion to be valid, it must be true that drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed, choice B.
What if drivers who are not ticketed for speeding, are more likely to speed than drivers who are ticketed for speeding. It's possible that those people who are speeding, but not ticketed for speeding, would not own radar detectors. If that were the case, then the conclusion stating that those who own radar detectors are more likely to speed is no longer valid.
So, for the conclusion to be valid, it must be true that drivers who are ticketed for exceeding the speed limit are more likely to exceed the speed limit regularly than are drivers who are not ticketed, choice B.
--Sean
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