On the Navajo Reservation, a random sample of 224 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 17 were traditional hogans. Letp1 be the population proportion of all traditional hogans in the Fort Defiance region, and letp2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 99% confidence interval forp1 –p2. (Use 3 decimal places.)
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