Answered: On the Navajo Reservation, a random…

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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Question

On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 56 were traditional Navajo hogans. In the Indian Wells region, a random sample of 145 permanent dwellings showed that 21 were traditional hogans. Let p₁ be the population proportion of all traditional hogans in the Fort Defiance region, and let p₂ be the population proportion of all traditional hogans in the Indian Wells region.

(a) Find a 99% confidence interval for p₁ − p₂. (Round your answer to three decimal places.)

lower limit
upper limit

Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p₁ − p₂ in this context.

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