For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due torounding.

A random sample of 5380 permanent dwellings on an entirereservation showed that 1564 were traditional hogans.

(a) Let p be the proportion of all permanent dwellingson the entire reservation that are traditional hogans. Find a pointestimate for p. (Round your answer to four decimalplaces.)


(b) Find a 99% confidence interval for p. (Round youranswer to three decimal places.)

lower limit   Â
upper limit   Â

Give a brief interpretation of the confidence interval.

1% of the confidence intervals created using this method wouldinclude the true proportion of traditional hogans.

99% of all confidence intervals would include the trueproportion of traditional hogans.   

99% of the confidence intervals created using this method wouldinclude the true proportion of traditional hogans.

1% of all confidence intervals would include the true proportionof traditional hogans.

(c) Do you think that np > 5 and nq > 5 aresatisfied for this problem? Explain why this would be an importantconsideration.

Yes, the conditions are satisfied. This is important because itallows us to say that p̂ is approximately binomial.

Yes, the conditions are satisfied. This is important because itallows us to say that p̂ is approximatelynormal.    

No, the conditions are not satisfied. This is important becauseit allows us to say that p̂ is approximately binomial.

No, the conditions are not satisfied. This is important becauseit allows us to say that p̂ is approximately normal.