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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, 67.9% 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 43.7%. Suppose these results are based on a random sample of 1,500 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-- 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--than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a -Selece interval estimate in part (b).

You may need to use the appropriate appendix table or technology to answer this question. Fewer young people are driving. In year A, 67.9% 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 43.7%. Suppose these results are based on a random sample of 1,500 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-- 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--than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a -Selece interval estimate in part (b).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Educational Website Transcription #### Statistical Analysis of Driver's License Eligibility Among Young People To answer the following questions, you may need to use the appropriate **appendix table** or **technology**. #### Background Information: Fewer young people are driving. In year A, **67.9%** of people under 20 years old who were eligible had a driver's license. Twenty years later, in year B, that percentage dropped to **43.7%**. Suppose these results are based on a random sample of **1,500** people under 20 years old who were eligible to have a driver's license in year A and again in year B. #### Questions: (a) **Margin of Error for Year 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) **Margin of Error for Year 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) **Comparing Margins of Error** - 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 ``` 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 ``` 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 ``` interval
Transcribed Image Text:### Educational Website Transcription #### Statistical Analysis of Driver's License Eligibility Among Young People To answer the following questions, you may need to use the appropriate **appendix table** or **technology**. #### Background Information: Fewer young people are driving. In year A, **67.9%** of people under 20 years old who were eligible had a driver's license. Twenty years later, in year B, that percentage dropped to **43.7%**. Suppose these results are based on a random sample of **1,500** people under 20 years old who were eligible to have a driver's license in year A and again in year B. #### Questions: (a) **Margin of Error for Year 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) **Margin of Error for Year 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) **Comparing Margins of Error** - 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 ``` 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 ``` 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 ``` interval
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