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 5000 permanent dwellings on an entire reservation showed that 1627 were traditional hogans. A USE SALT (a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for decimal places.) (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief interpretation of the confidence interval. O 1% of all confidence intervals would include the true proportion of traditional hogans. O 1% of the confidence intervals created using this method would include the true proportion of traditional hogans. O 99% of all confidence intervals would include the true proportion of traditional hogans. O 99% of the confidence intervals created using this method would include the true proportion of traditional hogans. (c) Do you think that np > 5 and ng > 5 are satisfied for this problem? Explain why this would be an important consideration. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. O Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal.

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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 500o0 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.
A USE SALT
(a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for
decimal places.)
(b) Find a 99% confidence interval for p. (Round your answers to three decimal places.)
lower limit
upper limit
Give a brief interpretation of the confidence interval.
O 1% of all confidence intervals would include the true proportion of traditional hogans.
O 1% of the confidence intervals created using this method would include the true proportion of traditional hogans.
O99% of all confidence intervals would include the true proportion of traditional hogans.
O99% of the confidence intervals created using this method would include the true proportion of traditional hogans.
(c) Do you think that np > 5 and ng > 5 are satisfied for this problem? Explain why this would be an important consideration.
O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial.
O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal.
OYes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial.
O.Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal.
Transcribed Image Text: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 500o0 permanent dwellings on an entire reservation showed that 1627 were traditional hogans. A USE SALT (a) Let p be the proportion of all permanent dwellings on the entire reservation that are traditional hogans. Find a point estimate for decimal places.) (b) Find a 99% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief interpretation of the confidence interval. O 1% of all confidence intervals would include the true proportion of traditional hogans. O 1% of the confidence intervals created using this method would include the true proportion of traditional hogans. O99% of all confidence intervals would include the true proportion of traditional hogans. O99% of the confidence intervals created using this method would include the true proportion of traditional hogans. (c) Do you think that np > 5 and ng > 5 are satisfied for this problem? Explain why this would be an important consideration. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately binomial. O No, the conditions are not satisfied. This is important because it allows us to say that p is approximately normal. OYes, the conditions are satisfied. This is important because it allows us to say that p is approximately binomial. O.Yes, the conditions are satisfied. This is important because it allows us to say that p is approximately normal.
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