Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations in Bandelier National Monument. At one excavation site a sample of 592 potsherds was found, of which 360 were identified as Santa Fe black-on-white (Bandelier Archaeological Excavation Project: Summer 1990 Excavations at Burnt Mesa Pueblo and Casa del Rito, edited by Kohler and Root, Washington State University). a. Let p represent the population proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. b. Do you think the condition np > 5 and nq > 5 are satisfied in this problem? Why would this be important? ( C. Find a 95% confidence interval for p. Give a brief statement of the meaning of the confidence interval. (

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2. Santa Fe black-on-white is a type of pottery commonly found at archaeological
excavations in Bandelier National Monument. At one excavation site a sample of 592
potsherds was found, of which 360 were identified as Santa Fe black-on-white
(Bandelier Archaeological Excavation Project: Summer 1990 Excavations at Burnt
Mesa Pueblo and Casa del Rito, edited by Kohler and Root, Washington State
University).
a. Let p represent the population proportion of Santa Fe black-on-white
potsherds at the excavation site. Find a point estimate for p. . -----,
b. Do you think the condition np > 5 and nq > 5 are satisfied in this problem?
Why would this be important? ({
C. Find a 95% confidence interval for p. Give a brief statement of the meaning of
the confidence interval.
Transcribed Image Text:2. Santa Fe black-on-white is a type of pottery commonly found at archaeological excavations in Bandelier National Monument. At one excavation site a sample of 592 potsherds was found, of which 360 were identified as Santa Fe black-on-white (Bandelier Archaeological Excavation Project: Summer 1990 Excavations at Burnt Mesa Pueblo and Casa del Rito, edited by Kohler and Root, Washington State University). a. Let p represent the population proportion of Santa Fe black-on-white potsherds at the excavation site. Find a point estimate for p. . -----, b. Do you think the condition np > 5 and nq > 5 are satisfied in this problem? Why would this be important? ({ C. Find a 95% confidence interval for p. Give a brief statement of the meaning of the confidence interval.
Estimation and Hypothesis Testing
d. What is the minimal sample size needed for a 95% confidence interval to
have a maximal margin of error of 0.02 if there is no preliminary estimate for
p?
e. What is the minimal sample size needed for a 95% confidence interval to
have a maximal margin of error of 0.02 if there is a preliminary estimate of
p = 0.62?
Transcribed Image Text:Estimation and Hypothesis Testing d. What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.02 if there is no preliminary estimate for p? e. What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.02 if there is a preliminary estimate of p = 0.62?
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