8.27A random sample of 985 "likely voters"-those who are judged to be likely to vote in anupcoming election-were polled during a phone-athon conducted by the Republican Party. Ofthose contacted, 592 indicated that they intended to vote for the Republican running in theelection.abAccording to this study, the estimate for p, the proportion of all "likely voters" who willvote for the Republican candidate, is p = .601. Find a bound for the error of estimation.If the "likely voters" are representative of those who will actually vote, do you think thatthe Republican candidate will be elected? Why? How confident are you in your decision?Can you think of reasons that those polled might not be representative of those who actuallyvote in the election?c

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Answered: 8.27 A random sample of 985 "likely…

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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A research group conducted an extensive survey of 2958 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1467 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed f we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.6% of the population percentage? (Hint: Use p≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) USE SALT workers
A television station wishes to study the relationship between viewership of its 11 p.m. news program and viewer age (18 years or less, 19 to 35, 36 to 54, 55 or older). A sample of 250 television viewers in each age group is randomly selected, and the number who watch the station’s 11 p.m. news is found for each sample. The results are given in the table below. Age Group Watch11 p.m. News? 18 or less 19 to 35 36 to 54 55 or Older Total Yes 49 59 61 84 253 No 201 191 189 166 747 Total 250 250 250 250 1,000 (a) Let p1, p2, p3, and p4 be the proportions of all viewers in each age group who watch the station’s 11 p.m. news. If these proportions are equal, then whether a viewer watches the station’s 11 p.m. news is independent of the viewer’s age group. Therefore, we can test the null hypothesis H0 that p1, p2, p3, and p4 are equal by carrying out a chi-square test for independence. Perform this test by setting α = .05. (Round your answer to 3 decimal places.)…
The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1116 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample Groups size mean variance Less than 281 41.6 115.8 h.s. High school 260 43.3 96.3 Bachelor's 294 42.5 100.5 Graduate 281 44.2 108.2 Send data to Excel Based on these summary statistics, we perform a one-way, independent-samples ANOVA test to determine if there is a difference in the mean hours worked in a typical week among the four populations of workers. (a) The results of this ANOVA are given in the incomplete ANOVA table below. Complete the…
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International experience around the world is important in our culture of globalization. According to NAFSA, 54.5% of all American students traveling abroad went to Europe in the 2014-2015 academic year. To determine if there is shift in the proportion of students traveling to Europe, suppose a random sample of 300 students who had studied abroad was taken for the 2015-2016 school year. One-hundred sixty of the students traveled to Europe. a. Conduct a test to determine if the proportion of students traveling to Europe has changed. Be sure to provide a complete write-up. b. Based on the hypothesis test, would you expect 0.545 to be in confidence interval for the proportion? Explain without constructing the interval.
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18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?
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