Statistics Solutions

[Solution] Archaeology: Pottery Santa Fe black on white is a type of pottery commonly found at archaeological excavations in Bandelier National Monument.

Question: Archaeology: Pottery Santa Fe black on white is a type of pottery commonly found at archaeological excavations in Bandelier National Monument. At one excavation site a sample of 592 potsherds was found, of which 360 were identified as Santa Fe black on white (Bandelier Archaeological Excavation Project: Summer 1990 Excavations at Burnt Mesa Pueblo and Casa del Rito, edited by Kohler and Root, Washington State University).

  1. Let p represent the population proportion of Santa Fe black on white potsherds at the excavation site. Find a point estimate for p.
  2. Find a 95% confidence interval for p. Give a brief statement of the meaning of the confidence interval.
  3. Do you think that the conditions np > 5 and nq > 5 are satisfied in this problem? Why would this be important?

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