For this problem, carry at least four digits after the decimal
in your calculations. Answers may vary slightly due to
rounding.
A random sample of 5360 permanent dwellings on an entire
reservation showed that 1585 were traditional hogans.
(a) Let p be the proportion of all permanent dwellings
on the entire reservation that are traditional hogans. Find a point
estimate for p. (Round your answer to four decimal
places.)
(b) Find a 99% confidence interval for p. (Round your
answer to three decimal places.)
lower limit | |
upper limit |
Give a brief interpretation of the confidence interval.
99% of the confidence intervals created using this method would include the true proportion of traditional hogans. 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. 1% of the confidence intervals created using this method would include the true proportion of traditional hogans.
(c) Do you think that np > 5 and nq > 5 are
satisfied for this problem? Explain why this would be an important
consideration.
-Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately normal.
-No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately binomial.
-Yes, the conditions are satisfied. This is important because it allows us to say that p̂ is approximately binomial.
-No, the conditions are not satisfied. This is important because it allows us to say that p̂ is approximately normal.
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