Find a 99% confidence interval for p1 – p2. (

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"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 66
5000-5500 ft 136 22

Let p1 be the population proportion of unidentified archaeological artifacts at the elevation zone 7000-7500 feet in the given archaeological area. Let p2 be the population proportion of unidentified archaeological artifacts at the elevation zone 5000-5500 feet in the given archaeological area.

(a) Find a 99% confidence interval for p1 – p2. (Use 3 decimal places.)

lower limit =__
upper limit =__
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