Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at an archaeological site. Suppose that at one excavation, a sample of171potsherds indicated that78were of the three-circle, red-on-white pattern.(a)Find a point estimatepfor 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 proportionpof all ceramic potsherds with this distinctive pattern found at the site. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to three decimal places.)