On the Navajo Reservation, a random sample of 212 permanent dwellings in the Fort Defiance region showed that 68 were traditional Navajo hogans. In the Indian Wells region, a random sample of 153 permanent dwellings showed that 23 were traditional hogans. Let p, be the population proportion of all traditional hogans in the Fort Defiance region, and let p, be the population proportion of all traditional hogans in the Indian Wells region. n USE SALT (a) Find a 99% confidence interval for p, - 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? 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 p, - p, 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. 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.
On the Navajo Reservation, a random sample of 212 permanent dwellings in the Fort Defiance region showed that 68 were traditional Navajo hogans. In the Indian Wells region, a random sample of 153 permanent dwellings showed that 23 were traditional hogans. Let p, be the population proportion of all traditional hogans in the Fort Defiance region, and let p, be the population proportion of all traditional hogans in the Indian Wells region. n USE SALT (a) Find a 99% confidence interval for p, - 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? 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 p, - p, 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. 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.
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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Transcribed Image Text:On the Navajo Reservation, a random sample of 212 permanent dwellings in the Fort Defiance region showed that 68 were
traditional Navajo hogans. In the Indian Wells region, a random sample of 153 permanent dwellings showed that 23 were
traditional hogans. Let p, be the population proportion of all traditional hogans in the Fort Defiance region, and let p, be the
population proportion of all traditional hogans in the Indian Wells region.
n USE SALT
(a) Find a 99% confidence interval for p, - p,. (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? 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 p, - p, 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.
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.
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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