Question

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations at a certain monument. At one excavation site a sample of 574 potsherds was found, of which 364 were identified as Santa Fe black-on-white. (a) Let p represent the proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. (Round your answer to four decimal places.) (b) Find a 95% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit

Answer 1

a)

The point estimate for p is represented by .

= 364 / 574

= 0.6341

b)

95% confidence interval for p is

- Z/2 * Sqrt ( ( 1 - ) / n) < p < + Z/2 * Sqrt ( ( 1 - ) / n)

0.6341 - 1.96 * sqrt( 0.6341 * 0.3659 / 574) < p < 0.6341 + 1.96 * sqrt( 0.6341 * 0.3659 / 574)

0.595 < p < 0.674

95% CI is ( 0.595 , 0.674)

Lower limit = 0.595

Upper limit = 0.674