Fewer young people are driving. In year A, 65.9% 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 1,700 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.) 2.253 X 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.) 0.636 to 0.682 (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.) 2.351 X 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.) 0.403 to 0.451 (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 smaller driver's license in year B is closer to 0.5 ✓ interval estimate in part (b). ✔ than the margin of error in part (b). This is because the sample proportion of eligible people under 20 years old who had a than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a larger v

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Fewer young people are driving. In year A, 65.9% 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 1,700 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.)
2.253
X
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.)
0.636
to 0.682
(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.)
2.351
X
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.)
0.403
to 0.451
(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 smaller
driver's license in year B is closer to 0.5 ✓ ✓
✔ interval estimate in part (b).
✓than the margin of error in part (b). This is because the sample proportion of eligible people under 20 years old who had a
than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a larger
Transcribed Image Text:Fewer young people are driving. In year A, 65.9% 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 1,700 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.) 2.253 X 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.) 0.636 to 0.682 (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.) 2.351 X 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.) 0.403 to 0.451 (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 smaller driver's license in year B is closer to 0.5 ✓ ✓ ✔ interval estimate in part (b). ✓than the margin of error in part (b). This is because the sample proportion of eligible people under 20 years old who had a than the sample proportion of eligible people under 20 years old who had a driver's license in year A. This leads to a larger
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