For this problem, carry at least four digits after the decimalin your calculations. Answers may vary slightly due torounding.
Santa Fe black-on-white is a type of pottery commonly found atarchaeological excavations at a certain monument. At one excavationsite a sample of 594 potsherds was found, of which 359 wereidentified as Santa Fe black-on-white.
(a) Let p represent the proportion of Santa Feblack-on-white potsherds at the excavation site. Find a pointestimate for p. (Round your answer to four decimalplaces.)
(b) Find a 95% confidence interval for p. (Round youranswers to three decimal places.)
| lower limit    | |
| upper limit    | |
Give a brief statement of the meaning of the confidenceinterval.
5% of the confidence intervals created using this method wouldinclude the true proportion of potsherds.5% of all confidenceintervals would include the true proportion ofpotsherds.     95% of the confidenceintervals created using this method would include the trueproportion of potsherds.95% of all confidence intervals wouldinclude the true proportion of potsherds.
(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 normal.Yes, theconditions are satisfied. This is important because it allows us tosay that p̂ is approximatelybinomial.     No, the conditions are notsatisfied. This is important because it allows us to say thatp̂ is approximately normal.No, the conditions are notsatisfied. This is important because it allows us to say thatp̂ is approximately binomial.
