On the Navajo Reservation, a random sample of 216 permanent dwellings in the For

Question

On the Navajo Reservation, a random sample of 216 permanent dwellings in the Fort Defience region showed that 66 were traditional Navajo hogans. In the Indian Wells region, a random sample of 1s5 permanent dwellings showed that 18 were traditional hogans. Let Pi be the population proportion of all treditional hogans in the Fort Defiance region, and let pa be the population proportion of traditional hogans in the Indian Wells region (a) rind a 99% confidence irtervai for P1-P2-(Round yur answer to three decimal places.) upper limit (b) Examine the conlidence interval and comment on its meaning. Does it include numbers that are all positive? all negatemixed 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 Ps-P2 in this context Because the interval contains only postive numbers, we can say that there is 4 higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval 0 Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region Because the-erval contains both positive and negative numbers, we can not say that there·s a higher proportion of hogans in the fort Defiance region.

Explanation / Answer

From statistical software output,

Image - 1) a) Lower limit = 0.085

Upper limit = 0.294

Image - 2) a) Lower limit = 0.326

Upper limit = 0.615

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