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 173 potsherds indicated that 68 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.)

lower limit
upper limit

Answer 1

Here

sample proportion

and sample size

a) a point estimate p̂ for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern = 0.393064

b)  a 95% confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site