Navajo Lifestyle: Traditional Hogans A random sample of 5222 permanent dwellings on the entire Navajo Indian Reservation showed that 1619 were traditional Navajo hogans (Navajo Architecture: Forms, History, Distributions by Jett and Spencer, University of Arizona Press).

(a) Let p be the proportion of all permanent dwellings on the entire Navajo Reservation that are traditional hogans. Find a point estimate for p.

(b) Find a 99% confi dence interval for p. Give a brief interpretation of the confi dence interval.

(c) Check Requirements Do you think that np 5 and nq 5 are satisfi ed for this problem? Explain why this would be an important consideration.