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Similar to humans, it has been shown that dogs have a “handedness", preferring to use either a right paw or a left paw for certain tasks. (a) Suppose that, in a random sample of 200 beagles, 55 were found to be left-pawed. In another random sample of 200 collies, 40 were found to be left-pawed. Calculate a 95% confidence interval on pi - P2, where pi is the proportion of beagles who are left-pawed and p2 is the proportion of collies who are left-pawed. Make sure to show all of the intermediate calculations needed for this result. (b) Suppose that the margin of error in the previous confidence interval was too large to be of much use. What sample sizes would be necessary to obtain a margin of error no greater than 0.06 (still using a 95% confidence level)? Assume equal sample sizes (n1 = n2).

Similar to humans, it has been shown that dogs have a “handedness", preferring to use either a right paw or a left paw for certain tasks. (a) Suppose that, in a random sample of 200 beagles, 55 were found to be left-pawed. In another random sample of 200 collies, 40 were found to be left-pawed. Calculate a 95% confidence interval on pi - P2, where pi is the proportion of beagles who are left-pawed and p2 is the proportion of collies who are left-pawed. Make sure to show all of the intermediate calculations needed for this result. (b) Suppose that the margin of error in the previous confidence interval was too large to be of much use. What sample sizes would be necessary to obtain a margin of error no greater than 0.06 (still using a 95% confidence level)? Assume equal sample sizes (n1 = n2).

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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
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4. Similar to humans, it has been shown that dogs have a "handedness", preferring to use either a right paw or a left paw for certain tasks. (a) Suppose that, in a random sample of 200 beagles, 55 were found to be left-pawed. In another random sample of 200 collies, 40 were found to be left-pawed. Calculate a 95% confidence interval on p1 - P2, where pi is the proportion of beagles who are left-pawed and p2 is the proportion of collies who are left-pawed. Make sure to show all of the intermediate calculations needed for this result. (b) Suppose that the margin of error in the previous confidence interval was too large to be of much use. What sample sizes would be necessary to obtain a margin of error no greater than 0.06 (still using a 95% confidence level)? Assume equal sample sizes (n1 = n2).
Transcribed Image Text:4. Similar to humans, it has been shown that dogs have a "handedness", preferring to use either a right paw or a left paw for certain tasks. (a) Suppose that, in a random sample of 200 beagles, 55 were found to be left-pawed. In another random sample of 200 collies, 40 were found to be left-pawed. Calculate a 95% confidence interval on p1 - P2, where pi is the proportion of beagles who are left-pawed and p2 is the proportion of collies who are left-pawed. Make sure to show all of the intermediate calculations needed for this result. (b) Suppose that the margin of error in the previous confidence interval was too large to be of much use. What sample sizes would be necessary to obtain a margin of error no greater than 0.06 (still using a 95% confidence level)? Assume equal sample sizes (n1 = n2).
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