A random sample of 5340 permanent dwellings on an entire reservation showed that 1592 were traditional hogans.
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Question

A random sample of 5340 permanent

dwellings on an entire reservation showed that 1592 were traditional hogans.

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


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

lower limit    upper limit    


(c) a brief interpretation of the confidence interval would be

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

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

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

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


(d) Do you think that np > 5 and nq > 5 are satisfied for this problem?


(e) why this would be an important consideration.

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

Yes, the conditions are satisfied. This is important because it allows us to say that  is approximately normal.    

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

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

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