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 177 potsherds indicated that 78 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

Given that, at one excavation, a sample of 177 potsherds indicated that 78 were of the three-circle, red-on-white pattern. Here, n = 177 and x = 78

a) The point estimate of the proportion of vehicles not covered by insurance is,

b) A 95% confidence level has 0.05 level of significance and critical value is,

95% Confidence interval for the population proportion is,

Therefore,  a 95% confidence interval for the population proportion p of all ceramic potsherds with this distinctive pattern found at the site is, (0.368, 0.514)

where,

lower limit = 0.368 and upper limit = 0.514