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8.90 Defensibility of a landscape. Settlers often chose sites to live and build communities in based on the landscape's defensibil- DINDEX ity. The defensibility of archaeological sites in the Northwest Pacific was investigated in the Journal of Anthropological Archaeology (Vol. 35, 2014). A defensibility index was calculated for each in a sample of 23 sites that included a trench embankment. These index values (on a scale of 1 to 100) are listed in the accompanying table. The researcher determined that the mean defensibility index of the entire Northwest Pacific landscape is 47. Of interest is whether the defensibility index of a sampled site exceeds this mean. 70 70 68 67 67 66 65 63 63 59 57 57 57 55 55 54 52 52 51 46 46 44 37 Source: Bocinsky, R.K. "Extrinsic site defensibility and landscape-based archaeo- logical inference: An example from the Northwest Coast." Journal of Anthropo- logical Archaeology, Vol. 35, 2014 (Table 3) a. Estimate p, the true proportion of all trench embankment sites that have a defensibility index that exceeds the mean of the entire Northwest Pacific landscape. SAS Output for Exercise 8.90 x ABOVE BELOW The FREQ Procedure Frequency Percent Frequency 19 82.61 4 17.39 Binomial Proportion x - ABOVE Proportion (P) Cumulative Cumulative Percent 82.61 100.00 0.8261 ASE 0.0790 95% Lower Conf Limit 0.6712 95% Upper Conf Limit 0.9810 Exact Conf Limits 95% Lower Conf Limit 0.6122 95% Upper Conf Limit 0.9505 ASE under HO Z Test of H0: Proportion - 0.6 One-sided Pr > Z Two-sided Pr>IZI 19 23 Exact Test One-sided Pr>- P Two-sided - 2* One-sided Sample Size - 23 0.1022 2.2133 0.0134 0.0269 0.0190 0.0379

8.90 Defensibility of a landscape. Settlers often chose sites to live and build communities in based on the landscape's defensibil- DINDEX ity. The defensibility of archaeological sites in the Northwest Pacific was investigated in the Journal of Anthropological Archaeology (Vol. 35, 2014). A defensibility index was calculated for each in a sample of 23 sites that included a trench embankment. These index values (on a scale of 1 to 100) are listed in the accompanying table. The researcher determined that the mean defensibility index of the entire Northwest Pacific landscape is 47. Of interest is whether the defensibility index of a sampled site exceeds this mean. 70 70 68 67 67 66 65 63 63 59 57 57 57 55 55 54 52 52 51 46 46 44 37 Source: Bocinsky, R.K. "Extrinsic site defensibility and landscape-based archaeo- logical inference: An example from the Northwest Coast." Journal of Anthropo- logical Archaeology, Vol. 35, 2014 (Table 3) a. Estimate p, the true proportion of all trench embankment sites that have a defensibility index that exceeds the mean of the entire Northwest Pacific landscape. SAS Output for Exercise 8.90 x ABOVE BELOW The FREQ Procedure Frequency Percent Frequency 19 82.61 4 17.39 Binomial Proportion x - ABOVE Proportion (P) Cumulative Cumulative Percent 82.61 100.00 0.8261 ASE 0.0790 95% Lower Conf Limit 0.6712 95% Upper Conf Limit 0.9810 Exact Conf Limits 95% Lower Conf Limit 0.6122 95% Upper Conf Limit 0.9505 ASE under HO Z Test of H0: Proportion - 0.6 One-sided Pr > Z Two-sided Pr>IZI 19 23 Exact Test One-sided Pr>- P Two-sided - 2* One-sided Sample Size - 23 0.1022 2.2133 0.0134 0.0269 0.0190 0.0379

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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b. An archaeologist wants to conduct a statistical test of hypothesis to determine if p is larger than .60. Give the null and alternative hypotheses for this test. c. Demonstrate that the sample is not large enough to apply the large-sample test of a binomial proportion. d. The SAS printout shown on p. 435 gives the results of an exact binomial proportion test of the hypotheses, part b. Locate the p-value of the test (bottom of the printout) and interpret the results.
Transcribed Image Text:b. An archaeologist wants to conduct a statistical test of hypothesis to determine if p is larger than .60. Give the null and alternative hypotheses for this test. c. Demonstrate that the sample is not large enough to apply the large-sample test of a binomial proportion. d. The SAS printout shown on p. 435 gives the results of an exact binomial proportion test of the hypotheses, part b. Locate the p-value of the test (bottom of the printout) and interpret the results.
8.90 Defensibility of a landscape. Settlers often chose sites to live and build communities in based on the landscape's defensibil- DINDEX ity. The defensibility of archaeological sites in the Northwest Pacific was investigated in the Journal of Anthropological Archaeology (Vol. 35, 2014). A defensibility index was calculated for each in a sample of 23 sites that included a trench embankment. These index values (on a scale of 1 to 100) are listed in the accompanying table. The researcher determined that the mean defensibility index of the entire Northwest Pacific landscape is 47. Of interest is whether the defensibility index of a sampled site exceeds this mean. 70 70 68 67 67 66 65 63 63 59 57 57 57 55 55 54 52 52 51 46 46 44 37 Source: Bocinsky, R.K. "Extrinsic site defensibility and landscape-based archaeo- logical inference: An example from the Northwest Coast." Journal of Anthropo- logical Archaeology, Vol. 35, 2014 (Table 3) a. Estimate p, the true proportion of all trench embankment sites that have a defensibility index that exceeds the mean of the entire Northwest Pacific landscape. SAS Output for Exercise 8.90 x ABOVE BELOW The FREQ Procedure Frequency Percent Frequency 19 82.61 4 17.39 Binomial Proportion x - ABOVE Proportion (P) Cumulative Cumulative Percent 82.61 100.00 0.8261 ASE 0.0790 95% Lower Conf Limit 0.6712 95% Upper Conf Limit 0.9810 Exact Conf Limits 95% Lower Conf Limit 0.6122 95% Upper Conf Limit 0.9505 ASE under HO Z Test of H0: Proportion - 0.6 One-sided Pr > Z Two-sided Pr>IZI 19 23 Exact Test One-sided Pr>- P Two-sided - 2* One-sided Sample Size - 23 0.1022 2.2133 0.0134 0.0269 0.0190 0.0379
Transcribed Image Text:8.90 Defensibility of a landscape. Settlers often chose sites to live and build communities in based on the landscape's defensibil- DINDEX ity. The defensibility of archaeological sites in the Northwest Pacific was investigated in the Journal of Anthropological Archaeology (Vol. 35, 2014). A defensibility index was calculated for each in a sample of 23 sites that included a trench embankment. These index values (on a scale of 1 to 100) are listed in the accompanying table. The researcher determined that the mean defensibility index of the entire Northwest Pacific landscape is 47. Of interest is whether the defensibility index of a sampled site exceeds this mean. 70 70 68 67 67 66 65 63 63 59 57 57 57 55 55 54 52 52 51 46 46 44 37 Source: Bocinsky, R.K. "Extrinsic site defensibility and landscape-based archaeo- logical inference: An example from the Northwest Coast." Journal of Anthropo- logical Archaeology, Vol. 35, 2014 (Table 3) a. Estimate p, the true proportion of all trench embankment sites that have a defensibility index that exceeds the mean of the entire Northwest Pacific landscape. SAS Output for Exercise 8.90 x ABOVE BELOW The FREQ Procedure Frequency Percent Frequency 19 82.61 4 17.39 Binomial Proportion x - ABOVE Proportion (P) Cumulative Cumulative Percent 82.61 100.00 0.8261 ASE 0.0790 95% Lower Conf Limit 0.6712 95% Upper Conf Limit 0.9810 Exact Conf Limits 95% Lower Conf Limit 0.6122 95% Upper Conf Limit 0.9505 ASE under HO Z Test of H0: Proportion - 0.6 One-sided Pr > Z Two-sided Pr>IZI 19 23 Exact Test One-sided Pr>- P Two-sided - 2* One-sided Sample Size - 23 0.1022 2.2133 0.0134 0.0269 0.0190 0.0379
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