1. Use the data above to perform the test from number 9 in Part I.In an ABC/Washington Post survey 855 randomly selected Americans out of 1525 Americans listed gun control as an importantissue in elections. Can ABC and the Washington Post claim that this survey provides sufficient evidence to say that a majority ofAmericans consider gun control an important issue in elections.Be sure to indicate your P-value and your conclusion. State your conclusion in the context of the problem using normal English.H.a) P-value -b) Conclusion (circle one): Reject Ho Fail to Reject Hoc) Conclusion in Context:d) For this problem, compute a 90% confidence interval.e) Write a sentence explaining this interval in the context of the problem.

The random variable gun control is an important issue follows normal distribution. We have to test…

Answered: 1. Use the data above to perform the…

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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1. A report in a national magazine estimated that 39 percent of American husbands do not know the color of their wives' eyes. Bill Cornett is a marriage counselor in a clinic in New Orleans. He feels the figure is higher for husbands in the greater New Orleans area. A sample of 264 husbands in this area yielded 111 who did not know the true color of their wives' eyes. a. Conduct a test of significance to determine whether the value of 0.39 can be rejected as too low for husbands in New Orleans. Be sure to state your hypotheses, all relevant statistics, a list of technical conditions, and a conclusion to your test. b. Produce a relevant confidence interval designed to capture the true proportion of American husbands who do not know the color of their wives' eyes. Explain how your interval backs up the result of your test of significance from part a.
1. A marketing manager for a cell phone company claims that more than 35% of children aged 10 – 11 have cell phones. In a survey of 5000 randomly selected children ages 10 – 11, 1805 of them had cell phones. Based on the sample data, can you conclude that the manager's claim is true? Use a 1% level of significance. A. Compute the p-value. B. Make a decision. C. Interpret the results.
2. We want to investigate whether there exists gender bias on traffic stops by the police here in Charlotte. The Charlotte Open Data Portal includes information on different characteristics of drivers being stopped. We collected the data from 2017 and we are interested in answering the question: "Of all the drivers who are stopped, are female drivers less likely to get searched than male drivers? From the data collected we observed that 438 out of the 24,314 female drivers were searched, whercas 2,244 out of 34,095 male drivers were scarchcd. (a) that the proportion of female drivers being searched is smaller than the proportion of male drivers being searched? Is there sufficient evidence at the 0.05 significance level to conclude Construct the appropriate confidence interval for the hypothesis (b) test of part (a) and state your conclusion.
A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 330 345 452 270 298 286 537 744 Employee 317 350 473 280 307 283 523 769 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. multiple choice 1 H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or…
1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
13. Consider a town in which 90% of the taxis are blue and 10% are green. One night a taxi hits a pedestrian and speeds off. A witness says.that the taxi was green. The pedestrian sues the Green Cab Co. The court orders a test of the witness's nighttime color perception. The test reveals that the witness correctly identifies 70% of blue color samples and 80% of green color samples. If a juror were to employ the representativeness heuristic to estimate the probability that the cab is green, he would overestimate that probability by the amount (a) 9/10 (b) 33/70 (c) 4/7 (d) 8/35 (e) 10/21
We wish to determine whether there is a relationship between the gender of ateenager and their preferred brand of running shoes. A survey of 200teenagers produced the following results: Preferred BrandGender,Nike, Asics ,New Balance and TotalFemale nike24 ascis19 new balance59 total102 Male nike32 asics28 new balance38 total98 Total nike56 asics47 new balance97 total200 Perform an appropriate test at a 5% level of significance to determine whetherthere is a relationship between the gender of teenagers and the preferredbrand of running shoes.
4. Use a 0.05 significance level to test the claim that gender and left-handedness are independent. Male Female Left-handed 83 184 Right-handed 17 16
43. You have been hired by the Department of Health and Human Services to analyze the qualifications of social workers in your state. Your boss thinks that social workers in one part of the state are underqualified to serve the needs of the community where they work. You know from state data that the average social worker statewide has 10.2 years of experience. You then conducted a study by gathering a random sample of social workers from the region of concern. Your sample consisted of 203 randomly selected social workers, who had an average of 8.7 years of experience, with a standard deviation of 0.52 years. Based on your data, can you conclude that social workers from the region of concern have significantly less experience than workers statewide?
An art authenticator has a history of successfully identifying forgeries. Over her career, she has been asked to evaluate 74 actual forgeries and correctly identified 69 of them. Further, among all the authentic art she has looked at, she has never claimed any to be forgeries. An art dealer is considering purchasing a painting but is worried it is a fake. His experience in the field over the years indicates about 3% of the artwork he comes across is forged. a) If the dealer employs the services of the authenticator, and she indicates the painting is genuine, what is the chance it is actually a forgery? b) Without authentication, the dealer can sell the painting for $20,000. The price would increase to $25,000 if the painting were authenticated as genuine, but obviously it is worthless if it is deemed a forgery. The authenticator charges $2,000 for her services. Do you think it is worth it for the dealer to use the authenticator? Why or why not?
Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?
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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