Question

In: Statistics and Probability

A survey of 500 non-fatal accidents showed that 201 involved the use of a cell phone....

A survey of 500 non-fatal accidents showed that 201 involved the use of a cell phone. Construct a 99% confidence interval for the proportion of fatal accidents that involved the use of a cell phone.

Solutions

Expert Solution

SOLUTION:

From given data,

A survey of 500 non-fatal accidents showed that 201 involved the use of a cell phone. Construct a 99% confidence interval for the proportion of fatal accidents that involved the use of a cell phone.

= 201

= 500

= /

= 201 / 500

= 0.402

q = 1 -

= 1 - 0.402

= 0.598

99% confidence interval

Confidence interval is 99%

99% = 99/100 = 0.99

= 1 - Confidence interval = 1-0.99 = 0.01

/2 = 0.01 / 2

= 0.005

Z_/2 = Z_0.005 = 2.576

Margin of error

E = Z_/2 *

E = 2.576 *

E = 2.576 * 0.021926969

E = 0.0564838

At 99% Confidence interval is

- E < P < + E

0.402 - 0.0564838 < P < 0.402+ 0.0564838

0.3455 < P < 0.4584

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A survey of 400 non-fatal accidents showed that 181 involved the use of a cell phone....

A survey of 400 non-fatal accidents showed that 181 involved the use of a cell phone. Construct a 99% confidence interval for the proportion of fatal accidents that involved the use of a cell phone.

A survey of 500 non-fatal accidents showed that 141 involved uninsured drivers. A. Construct a 99%...

A survey of 500 non-fatal accidents showed that 141 involved uninsured drivers. A. Construct a 99% confidence interval for the proportion of non-fatal accidents that involved uninsured drivers. Round to the nearest thousandth. B. Interpret the confidence interval.

One recent survey of cell phone usage around the world showed that only 4 percent of...

One recent survey of cell phone usage around the world showed that only 4 percent of people in countries like Uganda and Ethiopia have access to a smartphone. Explain how this presents an opportunity for these countries to attain faster growth. What are the likely costs of economic growth? Suppose that you are currently getting your undergraduate degree and are considering going on for a graduate degree. You expect that once you have your graduate degree, your income and your...

Many traffic accidents are blamed on motorists who are distracted by cell phone use while driving....

Many traffic accidents are blamed on motorists who are distracted by cell phone use while driving. In a 1999 survey, 30% of adults said that they make phone calls sometimes or frequently while driving alone. A recent random sample of 500 adults showed that 165 of them make phone calls sometimes or frequently while driving alone. At the 1% level of significance, can you conclude that the current proportion of adults who make such phone calls exceeds .3? Identify the...

In the study of cell phone use and brain hemispheric dominance, an internet survey was emailed...

In the study of cell phone use and brain hemispheric dominance, an internet survey was emailed to 2524 subjects randomly selected from an online group involved with ears. 930 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys. A. Find the best point estimate of the population proportion p B. Identify the value of the margin of error E. C. Construct the confidence interval

In a study of cell phone use and brain hemispheric dominance, an internet survey was emailed...

In a study of cell phone use and brain hemispheric dominance, an internet survey was emailed to 2601 subjects randomly selected from an online group involved with ears. 975 surveys were returned. Construct a 90% confidence interval for the proportion of returned surveys. a) What is the best point estimate of the population P c) Construct the confidence level b) Identify the value of the margin of error E. c) Construct the confidence level.

A study showed that 66.4% of occupants involved in a fatal car crash wore seat belts....

A study showed that 66.4% of occupants involved in a fatal car crash wore seat belts. Of those in a fatal car crash who wore seat belts, 2% were ejected from the vehicle. For those not wearing seat belts, 39% were ejected from the vehicle. Complete parts (a) and (b) below. (a) Find the probability that a randomly selected person in a fatal car crash who was ejected from the vehicle was wearing a seatbelt. The probability is _______. (Type...

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed...

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2616 subjects randomly selected from an online group involved with ears.1023 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys. 1. find the best point estimate of the population proportion p ( round to three decimal places as needed) 2. identify the value of the margin of error E 3. Construct the convidence interval ____<p<______ 4. write a...

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed...

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2592 subjects randomly selected from an online group involved with ears. 913 surveys were returned. Construct a 99% confidence interval for the proportion of returned surveys.

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed...

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2446 subjects randomly selected from an online group involved with ears. 1083 surveys were returned. Construct a 99% confidence interval for the proportion of returned survey.

Subjects