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Fewer young people are driving. In year A, 61.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 42.7%. Suppose these results are based on a random sample of 1,900 people under 20 years old who were eligible to have a driver's license in year A and again in year B. (a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.) to (b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had driver's license in year B? (Round your answers to four decimal places.) to (c) Is the margin of error the same in parts (a) and (b)? Why or why not? The margin of error in part (a) is -Select-- v than the margin of error in part (b). Thisi ---Select-- v than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a --Select--- v interval estimate in part (b). because the sample proportion of eligible people under 20 years old who had a driver's license in year B is

Fewer young people are driving. In year A, 61.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 42.7%. Suppose these results are based on a random sample of 1,900 people under 20 years old who were eligible to have a driver's license in year A and again in year B. (a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.) to (b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had driver's license in year B? (Round your answers to four decimal places.) to (c) Is the margin of error the same in parts (a) and (b)? Why or why not? The margin of error in part (a) is -Select-- v than the margin of error in part (b). Thisi ---Select-- v than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a --Select--- v interval estimate in part (b). because the sample proportion of eligible people under 20 years old who had a driver's license in year B is

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
Problem 8CR
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You may need to use the appropriate appendix table or technology to answer this question. Fewer young people are driving. In year A, 61.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 42.7%. Suppose these results are based on a random sample of 1,900 people under 20 years old who were eligible to have a driver's license in year A and again in year B. (a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.) to (b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answers to four decimal places.) to (c) Is the margin of error the same in parts (a) and (b)? Why or why not? The margin of error in part (a) is --Select--- v than the margin of error in part (b). This is because the sample proportion of eligible people under 20 years old who had a driver's license in year B is ---Select--- v than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a ---Select--- v interval estimate in part (b).
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. Fewer young people are driving. In year A, 61.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 42.7%. Suppose these results are based on a random sample of 1,900 people under 20 years old who were eligible to have a driver's license in year A and again in year B. (a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.) to (b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year B? (Round your answers to four decimal places.) to (c) Is the margin of error the same in parts (a) and (b)? Why or why not? The margin of error in part (a) is --Select--- v than the margin of error in part (b). This is because the sample proportion of eligible people under 20 years old who had a driver's license in year B is ---Select--- v than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a ---Select--- v interval estimate in part (b).
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