A random sample of 200 drivers from a particular county who drive a foreign car yielded 115 who use their seatbelts regularly, while another sample of 300 drivers who drive a domestic model yielded 154 who use their seat belts regularly.
1. Test whether the proportions of those using seat belts regularly is same between the drivers of foreign cars and drivers of domestic cars. Use a=0.01.
2. Calculate a 99% confidence interval for the difference in proportions of those using seat belts regularly between drivers of foreign cars and drivers of domestic cars.
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