Chapter 8, Problem 15CR

Archaeology: Pottery Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site (see source for Problem 11). At one excavation, a sample of 167 potsherds indicated that 68 were of the three-circle, red-on-white pattern.

(a) Find a point estimate $\hat{p}$ for the proportion of all ceramic potsherds at this site that are of the three-circle, red-on-white pattern.

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