A random sample of 5222 permanent dwellings on the entire Navajo 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% confidence interval for p. Give a brief interpretation of the confidence interval.
(c) Do you think that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration.