For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 582 potsherds was found, of which 356 were identified as Santa Fe black-on-white. LUSE SALT (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief statement of the meaning of the confidence interval. O 5% of all confidence intervals would include the true proportion of potsherds. O 5% of the confidence intervals created using this method would include the true proportion of potsherds. O 95% of all confidence intervals would include the true proportion of potsherds. O 95% of the confidence intervals created using this method would include the true proportion of potsherds. (c) Do you think that np> 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration. O Yes, the conditions are 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 No, the conditions are not 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 : allows us to say that p is approximately normal..

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.1: Ratios
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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.
Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 582 potsherds was found, of which 356 were
identified as Santa Fe black-on-white.
LUSE SALT
(a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 95% confidence interval for p. (Round your answers to three decimal places.)
lower limit
upper limit
Give a brief statement of the meaning of the confidence interval.
O 5% of all confidence intervals would include the true proportion of potsherds.
O 5% of the confidence intervals created using this method would include the true proportion of potsherds.
O 95% of all confidence intervals would include the true proportion of potsherds.
O 95% of the confidence intervals created using this method would include the true proportion of potsherds.
(c) Do you think that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration.
O Yes, the conditions are 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 No, the conditions are not 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 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. Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 582 potsherds was found, of which 356 were identified as Santa Fe black-on-white. LUSE SALT (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit Give a brief statement of the meaning of the confidence interval. O 5% of all confidence intervals would include the true proportion of potsherds. O 5% of the confidence intervals created using this method would include the true proportion of potsherds. O 95% of all confidence intervals would include the true proportion of potsherds. O 95% of the confidence intervals created using this method would include the true proportion of potsherds. (c) Do you think that np > 5 and nq > 5 are satisfied for this problem? Explain why this would be an important consideration. O Yes, the conditions are 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 No, the conditions are not 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 allows us to say that p is approximately normal.
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