A criminal justice researcher is interested in determining if out-of-state motorists tend to speed more frequently than in-state motorists. After taking a sample of traffic stop data, she recorded whether the vehicle was registered in the state or not and whether or not the driver received a speeding ticket. The data are given in the table below. Calculate the lower bound of a 90% confidence interval for the difference in the proportion of in- and out-of-state drivers who received speeding tickets. Take all calculations to three decimal places.
received ticket | did not receive ticket | |
IN State | 61 | 266 |
out of state | 142 | 289 |
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