On the Navajo Reservation, a random sample of226permanent dwellings in the Fort Defiance region showed that64were traditional Navajo hogans. In the Indian Wells region, a random sample of155permanent dwellings showed that26were traditional hogans. Letp₁be the population proportion of all traditional hogans in the Fort Defiance region, and letp₂be the population proportion of all traditional hogans in the Indian Wells region.

(a) Find a95%confidence interval forp₁-p₂. (Use 3 decimal places.)lower limit upper limit