MATLAB: An Introduction with Applications
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Author: Amos Gilat
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Transcribed Image Text:On the Navajo Reservation, a random sample of 228 permanent dwellings in the Fort Defiance region showed that 68 were traditional Navajo hogans. In the Indian Wells region, a random sample of 151 permanent dwellings showed that 25 were traditional
hogans. Let p₁ be the population proportion of all traditional hogans in the Fort Defiance region, and let pa be the population proportion all traditional hogans in the Indian Wells region.
USE SALT
(a) Find a 99% confidence interval for p₁ - P₂. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? I 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.
O Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.
O Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region.
O We can not make any conclusions using this confidence interval.
O Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
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