Fewer young people are driving. In year A, 64.9% 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 47.7%. Suppose these results are based on a random sample of 1,300 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 ---Select--- interval estimate in part (b).
Fewer young people are driving. In year A, 64.9% 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 47.7%. Suppose these results are based on a random sample of 1,300 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 ---Select--- interval estimate in part (b).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Transcribed Image Text:Fewer young people are driving. In year A, 64.9% 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 47.7%. Suppose these results are based on a random sample of 1,300 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
---Select--- interval estimate in part (b).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Step 1: Obtain the margin of error for the 95% confidence interval of proportion for year A.
VIEWStep 2: Obtain the confidence interval of proportion for the year A.
VIEWStep 3: Obtain the margin of error for the 95% confidence interval of proportion for year B.
VIEWStep 4: Obtain the confidence interval of proportion for the year B.
VIEWSolution
VIEW
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON