Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the anasazi period found at the wind mountain archaeological site. 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 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 percent confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site.
c. consider the three-circle, red-on-white pattern discussed in the problem above. how many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p-hat of such potsherds is within 6% of the population proportion of three-circle, red-on-white patterns found at this excavation site?