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10. [-/0.27 Points] DETAILS BBUNDERSTAT12 7.4.022.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER "Unknown cultural affiliations and loss of identity at high elevations." These are words used to propose the hypothesis that archaeological sites tend to lose their identity as altitude extremes are reached. This idea is based on the notion that prehistoric people tended not to take trade wares to temporary settings and/or isolated areas. As elevation zones of prehistoric people (in what is now the state of New Mexico) increased, there seemed to be a loss of artifact identification. Consider the following information. Elevation Zone Number of Artifacts Number Unidentified 7000-7500 ft 115 67 5000-5500 ft 140 21 Let p, be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p, be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area. LA USE SALT (a) Find a 90% confidence interval for P, - P2. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in the context of this problem. Does the confidence interval contain all positive numbers? all negative numbers? both positive and negative numbers? What does this tell you (at the 90% confidence level) about the comparison of the population proportion of unidentified artifacts at high elevations (7000-7500 feet) with the population proportion of unidentified artifacts at lower elevations (5000-5500 feet)? How does this relate to the stated hypothesis? Because the interval contains only positive numbers, we can say that a higher proportion of unidentified artifacts are found in the higher altitude Because the interval contains both positive and negative numbers, we can not say that a higher proportion of unidentified artifacts are found in the higher altitude. We can not make any conclusions using this confidence interval. Because the interval contains only negative numbers, we can say that a higher proportion of unidentified artifacts are found in the lower altitude