Question

Elderly drivers. A polling agency interviews 866 American adults and finds that 546 think licensed drivers...

Elderly drivers. A polling agency interviews 866 American adults and finds that 546 think licensed drivers should be required to retake their road test once they reach 65 years of age. Round all answers to 4 decimal places.

1. Calculate the point estimate for the proportion of American adults that think licensed drivers should be required to retake their road test once they reach 65 years of age.  

2. Calculate the standard error for the point estimate you calculated in part 1.  

3. Calculate the margin of error for a 95% confidence interval for the proportion of American adults that think licensed drivers should be required to retake their road test once they reach 65 years of age.

4. What are the lower and upper limits for the 95% confidence interval.

(  ,  )

5. Based on a 95% confidence interval, does the poll provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65?

A. No, because our confidence interval includes 70%.  
B. Yes, because a wider confidence interval would include 70%.
C. No, because the plausible values for this percentage are all less than 70%.
D. Yes, because 70% is more than the values in our confidence interval.

6. Use the information from the polling agency to determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than 4.1%. For consistency, use the reported sample proportion for the planning value of p* (rounded to 4 decimal places) and round your Z-value to 3 decimal places. Your answer should be an integer.

Homework Answers

Answer #1

1) point estimate for the proportion =0.6305

2) standard error for the point estimate =0.0164

3) margin of error =0.0321

4) lower and upper limits for the 95% confidence interval =0.5984 ; 0.6626

5)

C. No, because the plausible values for this percentage are all less than 70%.

6)

here margin of error E = 0.041
for90% CI crtiical Z          = 1.645
estimated proportion=p= 0.6305
required sample size n =         p*(1-p)*(z/E)2= 376.00
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(1 point) In January, 2011, The Marist Poll published a report stating that 66% of adults...
(1 point) In January, 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age. It was also reported that interviews were conducted on 1,1018 American adults, and that the margin of error was 3% using a 95% confidence level. Based on this information, choose the correct statements below. (a) Verify the margin of error reported by The Marist Poll...
In a survey of 1018 ​adults, a polling agency​ asked, "When you​ retire, do you think...
In a survey of 1018 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1018 surveyed, 537 stated that they were worried about having enough money to live comfortably in retirement. Construct a 95% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. Select the correct choice below and fill in the answer boxes to complete...
In a survey of 1019 ​adults, a polling agency​ asked, "When you​ retire, do you think...
In a survey of 1019 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1019 ​surveyed, 535 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. A. There is 99​% confidence that the true proportion of worried adults is...
In a survey of 1001 ​adults, a polling agency​ asked, "When you​ retire, do you think...
In a survey of 1001 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 10011 ​surveyed, 522 stated that they were worried about having enough money to live comfortably in retirement. Construct a 9090​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.
In a survey of 1008 ​adults, a polling agency​ asked, "When you​ retire, do you think...
In a survey of 1008 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the1008 surveyed, 526 stated that they were worried about having enough money to live comfortably in retirement. Construct a 90​%confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.
In a survey of 1020 adults, a polling agency​ asked, "When you​ retire, do you think...
In a survey of 1020 adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 1020 surveyed, 538 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.
In a survey of 1020 adults, a polling agency asked"When you retire, do you think you...
In a survey of 1020 adults, a polling agency asked"When you retire, do you think you will have enough money to live comfortably or not the 1020 surveyed, 539 stated that they were worried about having enough money to live comfortably in retirement. Construct a 99% confidence interval for the proportion of adults who are worried about having enough money to live confortably in retirement.
A polling organization interviewed by phone 400 randomly selected adults in New York City about their...
A polling organization interviewed by phone 400 randomly selected adults in New York City about their opinion on random drug testing for taxi drivers and found that 38% favored such a regulation. Find the standard error of the proportion. Find and interpret the 95% confidence interval for the population proportion. Find and interpret the 99% confidence interval for the population proportion..
In a survey of 1016 ​adults, a polling agency​ asked, "When you​retire, do you think you...
In a survey of 1016 ​adults, a polling agency​ asked, "When you​retire, do you think you will have enough money to live comfortably or not. Of the 1016 ​surveyed, 532 stated that they were worried about having enough money to live comfortably in retirement. Construct a 90​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. Select the correct choice below and fill in the answer boxes to complete your...
In a survey of 10101010 ​adults, a polling agency​ asked, "When you​ retire, do you think...
In a survey of 10101010 ​adults, a polling agency​ asked, "When you​ retire, do you think you will have enough money to live comfortably or not. Of the 10101010 ​surveyed, 532532 stated that they were worried about having enough money to live comfortably in retirement. Construct a 9090​% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement. Click here to view the standard normal distribution table (page 1). LOADING... Click...