Question

Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at an archaeological site. At one excavation, a sample of 169 potsherds indicated that 72 were of the three-circle, red-on-white pattern.

(a) Find a point estimate p̂ for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern. (Round your answer to four decimal places.)

(b) Compute a 95% confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site. (Round your answers to three decimal places.)

upper limit-

lower limit-

Answer 1

Given:

Sample size, n = 169

No. of potsherds of three-circle, red-on-white pattern ,x = 72

1) A point estimate p̂ for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern is

The 95% confidence interval for the population proportion p is :

lower limit = 0.352

upper limit = 0.501