In a survey of 2,075 adults in a certain country conducted during a period of economic uncertainty, 67% thought that wages paid to workers in industry were too low. The margin of error was 3 percentage points with 95% confidence. For parts (a) through (d) below, which represent a reasonable interpretation of the survey results? For those not reasonable, explain the flaw.---(a) We are 95% confident 67% of adults in the country during the period of economic uncertainty felt wages paid to workers in industry were too low.Is the interpretation reasonable?- **A.** The interpretation is reasonable.- **B.** The interpretation is flawed. The interpretation indicates that the level of confidence is varying.- **C.** The interpretation is flawed. The interpretation provides no interval about the population proportion.- **D.** The interpretation is flawed. The interpretation suggests that this interval sets the standard for all the other intervals, which is not true.

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Answered: In a survey of 2075 adults in a certain…

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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2. The Vice-Chancellor of a university is concerned that illicit drug use on campus is higher than the 5% acceptable level. A random sample of 140 students revealed that 5 of them had used illicit drug during the last 12 months. Construct a 90% confidence interval to estimate the true proportion of students who use illicit drug. Should the Vice-Chancellor be concerned?
10. A research group studying the use of Apple Pay asked the question, "Do you ever use Apple Pay to make a payment at a grocery store?" to people selected from two random samples. One sample consisted of older adults, aged 35 years and older, and the other sample consisted of younger adults, ages 18 to 34 years old. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125) to estimate the difference (younger minus older) between the population of people who would answer yes to the question. Which of the following is the best description of what is meant by 95 percent confidence? a) The probability is 0.95 that the difference in the population proportions of people who would answer yes to the question is between 0.097 and 0.125. b) The probability is 0.95 that the difference in the sample proportion of people who would answer yes to the question is between 0.97 and 0.125. c) In repeated random sampling with the same…
1. A company surveyed its employees to determine what the new daily meal allotment dollar amount should be. Of the 159 employees, 94 responded. Pat’s supervisor asked what the recommended dollar amount should be. Pat could take the mean of the 94 responses or calculate a confidence interval about the mean using those 94 responses. Which action of the two (don’t go outside these choices) would give the supervisor a better idea of what the true mean is, and why?
Mental health. The General Social Survey asked the question: “For how many days during the past30 days was your mental health, which includes stress, depression, and problems with emotions, not good?”Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24days in 2010.(a) Interpret this interval in context of the data.(b) What does “95% confident” mean? Explain in the context of the application.(c) Suppose the researchers think a 99% confidence level would be more appropriate for this interval. Willthis new interval be smaller or wider than the 95% confidence interval?(d) If a new survey were to be done with 500 Americans, do you think the standard error of the estimatebe larger, smaller, or about the same.
9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.
8 A New York Times article reported that a survey conducted in 2014 included 36,000 adults, with 1,500 of them being regular users of e-cigarettes. Because e-cigarette use is relatively new, there is a need to obtain today's usage rate. How many adults must be surveyed now if we want a confidence level of 90% and a margin of error of 1.5 percentage points?
15. Pain after surgery: In a random sample of 50 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 90 patients undergoing a new procedure, only 16 required pain medication. a. Construct a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. b. A physician claims that the proportion of patients who need pain medication is the same for both procedures. Does the confidence interval contradict this claim? 16
8. A confidence interval for estimating the mean An industrial/organizational psychologist wants to improve worker productivity for a client firm, but first he needs to gain a better understanding of the life of the typical white-collar professional. Fortunately, he has access to the 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals). One of the survey questions was, “How many work-related emails do you receive during a typical workday?” For the subsample of legal professionals (n = 250), the mean response was M = 36.7 emails, with a sample standard deviation of s = 23.8 emails. The estimated standard error is sMM? = A-0.085, B-1.341, C-0.095 or D-1.505 (choices to choose from.) . Use the following Distributions tool to develop a 90% confidence interval estimate of the mean number of work-related emails legal…
5. A researcher constructed a 95% confidence interval for the true mean number of years students take to earn a bachelor's degree. His results were (4.319, 4.841). a. What is the point estimate for the average number of years to complete a bachelor's degree? b. Does his interval support or contradict the widely held belief that it takes 4 years to complete a bachelor's degree? Why or why not?
1- You want to construct a 99% confidence interval for the proportion of retail stores that went out of business due to the recent pandemic. You managed to collect a random sample of 93 retail stores and found 15% of them shut down permanently. Construct and interpret the confidence interval.
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Suppose NBC has asked the same question to a sample of 1296 adults nine months earlier, finding 47% with an optimistic outlook for the year ahead. Develop a 95% confidence interval for the percentage of American adults who had an optimistic outlook for the economy nine months earlier.

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