A random sample of 5222 permanent dwellings on the entire Navajo Indian Reservation showed
that 1619 were traditional Navajo hogans.
(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.

Question

A random sample of 5222 permanent dwellings on the entire Navajo Indian Reservation showed
that 1619 were traditional Navajo hogans.
(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.