A 2015 survey of 400 randomly selected drivers reported that 20 percent of the drivers surveyednever use their cruise control. A 95% confidence interval is given by (0.161, 0.239). Which of thefollowing is a correct interpretation of the 95% confidence level?(A) We are 95 percent confident that the true proportion of all drivers who never use their cruisecontrol is between 0.161 and 0.239.(B) There is a 0.95 probability that the true proportion of all drivers who never use their cruisecontrol is between 0.161 and 0.239.(C) 95 percent of all random samples of 400 drivers chosen from the population will result inconfidence intervals which contain 0.20.(D) 95 percent of all random samples of 400 drivers will result in confidence intervals which containthe true proportion of all drivers who never use their cruise control.(E) 95 percent of all random samples of 400 drivers chosen from the population will have sampleproportions between 0.161 and 0.239.

A confidence interval is a range of values, derived from a data set, that is likely to contain the…

Answered: A 2015 survey of 400 randomly selected…

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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In a study of the nicotine patch, 21% of those who used the patch for 2 months reported no smoking incidents in the following year. The 95% confidence interval is (17.4%, 24.8%). Which of the following is an appropriate interpretation of the 95% confidence interval? There is a 95% probability that the proportion of all nicotine patch users who would report no smoking incidents in the following year is between 17.4% and 24.8%. We can be 95% confident that the proportion of the sample who would report no smoking incidents in the following year is between 17.4% and 24.8%. 95% of samples will have between 17.4% and 24.8% who would report no smoking incidents in the following year. We can be 95% confident that the proportion of all nicotine patch users who would report no smoking incidents in the following year is between 17.4% and 24.8%.
A survey of 2450 golfers showed that 281 of them are left-handed. Construct a 90% confidence interval for the proportion of golfers that are left-handed. Question 10 options: (0.104, 0.125) (0.369, 0.451) (0.100, 0.130) (0.203, 0.293)
A beverage company would like to determine if their drink is preferred to a rival company’s drink. They perform an experiment with 150 randomly selected individuals and have them taste test the two different drinks in a controlled environment so that each person's preference is independent of others. A 90% confidence interval for the proportion preferring their drink is (0.453, 0.587). Which of the following is the correct interpretation of this confidence interval? 90% of all consumers prefer this beverage company’s drink to their rival’s between 45.3% and 58.7% of the time. We’re 90% confident that between 45.3% and 58.7% of all consumers would prefer this beverage company’s drink to their rival’s drink. We’re 90% confident that there’s a 45.3% to 58.7% chance that a randomly selected person would prefer this beverage company’s drink to their rival’s drink. We’re 90% confident that the proportion of people in the sample who prefer this beverage company’s drink over their…
An online survey of 385 individuals found that 114 had fully completed the game God of War. Which of the following is a 99% confidence interval for the population proportion of individuals who fully completed this video game? (0.2505, 0.3417) (0.2578, 0.3344) (0.2362, 0.3560) None of the above
The dean of students at a large college is interested in learning about their opinions regarding the percentage of first-year students who should be given parking privileges in the main lot. He sends out an email survey to all students about this issue. A large number of first-year students reply but very few sophomores, juniors, and seniors reply. Based on the responses he receives, he constructs a 90% confidence interval for the true proportion of students who believe first-year students should be given parking privileges in the main lot to be (0.71, 0.79). Which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error? response bias O nonresponse bias O sampling variation O undercoverage bias
You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 424 randomly selected caterpillars observed, 50 lived to become butterflies. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between and . b. If many groups of 424 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about percent will not contain the true population proportion.
The following table shows 1000 Engineer school applicants classified according to scores made on a college entrance examination and the quality of the high school from which they graduated, as rated by a group of educators: Quality of High Schools Superior Scores Average Low 300 100 High 260 340 A 95% confidence interval for the population proportion of applicants that a low score on the examination and graduated from an average high school is: (0.081 , 0.118) None of these (0.271,0.328) O (0.310, 0.369)
A random sample of 318 students from a large college were asked if they are planning to visit family during Thanksgiving break. Based on this random sample, a 99% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0.78 to 0.98. Which of the following is the correct interpretation of the confidence interval? options: We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students at this college who plan to visit family during Thanksgiving break. We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students in this sample who plan to visit family during Thanksgiving break. We are 95% confident that the interval from 0.78 to 0.98 captures the true proportion of all students at this college who said they plan to visit family during Thanksgiving break. None of these is correct.
Question #8
A professor was curious about her students' grade point averages. She took a random sample of 15 students and found a mean GPA of 3.01 with a standard deviation of 0.534. Which of the following formulas gives a 99% confidence interval for the mean GPA of the professor's students?
Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities in a country. Construct a 95% confidence interval. What does the result tell us about the population of all celebrities? Do the data appear to be from a normally distributed population as required? 245 210 186 168 166 163 156 156 156 156
A 95% confidence interval implies that: A. We are 95% confident that the interval contains the true population mean B. The interval range contains 95% of the values in your dataset C. There is a 5% chance the mean will be found in the CI range

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