Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels

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 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. (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

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

95% confidence interval results:

Hence,

a) Proportion = 0.3842

b) 95% confidence interval:

Lower limit = 0.313

Upper limit = 0.456

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 68 177 0.38418079 0.036560136 0.31252424 0.45583734

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