On the Navajo Reservation, a random sample of 210 permanent dwellings in the Fort Defiance region showed that 63 were traditional Navajo hogans. In the Indian Wells region, a random sample of 152 permanent dwellings showed that 22 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 answers to three decimal places.) lower limit upper limit (b) 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. Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region. 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. We can not make any conclusions using this confidence interval. Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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On the Navajo Reservation, a random sample of 210 permanent dwellings in the Fort Defiance region showed that 63 were traditional Navajo hogans. In the Indian Wells region, a random sample of 152 permanent dwellings showed that 22 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 answers to three decimal places.) lower limit upper limit (b) 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. Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region. 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. We can not make any conclusions using this confidence interval. 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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