The probability that a motorcyclist wore a DOT-compliant helmet five years ago was .48, and lastyear this probability was .63. Would the National Highway Traffic Safety Administration be pleasedwith the most recent survey results? The National Occupant Protection Use Survey (NOPUS) was conducted to provide probability-based data on motorcycle helmet use in the United States. The survey was conducted by sendingobservers to randomly selected roadway sites where they collected data on motorcycle helmet use,including the number of motorcyclists wearing a Department of Transportation (DOT)-complianthelmet (National Highway Traffic Safety Administration website, January 7, 2010). Sample dataconsistent with the most recent NOPUS are shown below. Answer questions 8 -10.Type of HelmetDOT-RegionCompliantNoncompliantNortheast9662Midwest8643South9249West7616Total350170(Hint: The above table is a cross-tabulation, but the right margin is missing. You will need tocalculate the total number of motorcyclists for each region as well as the total number ofmotorcyclists of all four regions.)

Probability of an event is the chances of occurrence of the event and its value lies between 0 and…

Answered: The National Occupant Protection Use…

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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Crime incidents by quarantine violators. On June 10, 2020, CNN Philippines reported that the Philippine National Police (PNP) said that incidents of crime had decreased sharply during the country’s community quarantine, which lasted for 84 days. Concurrently, the Joint Task Force COVID Shield reported that a total of 193,779 quarantine violators had been warned, fined, or arrested. About 65.05% of them were from Luzon. Consider a random sample of 500 quarantine violators. a. Compute m and s for the random variable x, the num- ber of quarantine violators who are from Luzon. b. From the sample of 500 quarantine violators, is it likely that less than half are not from Luzon? Explain.
The Behavioral Risk Factor Surveillance System is an ongoing health survey system that tracks health conditions and risk behaviors in the United States. In one of their studies, a random sample of 8,866 adults answered the question "Do you consume five or more servings of fruits and vegetables per day?" The data are summarized by response and by age-group in the frequency table below. Age-Group (years) Yes No 18-34 231 35-54 669 55 or older Total 1,291 2,191 741 2,242 3,692 6,675 Total 972 2,911 4,983 8,866 Do the data provide convincing statistical evidence that there is an association between age-group and whether or not a person consumes five or more servings of fruits and vegetables per day for adults in the United States? The value of the test statistic is 83.663. Use a 0.05 level of significance to test the hypothesis. The critical value is 5.991. What is the expected number of 19-34-year-olds who say that they consume five or more servings of fruits and vegetables per day? Among…
Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain asked this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 180 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. (Each expert I have asked has gotten the critical value wrong so I added a picture of the correct formula to…
In an article that appears on a website,† Carlton Gunn, a public defender in Seattle, Washington, wrote about how he uses statistics in his work as an attorney. He states the following. I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in 100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given—say 99 in 100—are truly clean, then you get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false. Define the following events as given below. TD = event that the test result is dirty TC = event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following…
Suppose an investigator has studied the possible association between the use of a weight-loss drug and a rare central nervous system (CNS) disorder. He samples from a group of volunteers with and without the disorder, and records whether they have used the weight-loss drug. The data are summarized in the attached table: What is the estimated the odds ratio for the presence of a CNS disorder, comparing people who have used the weight-loss drug to those who have not? What test would you use to evaluate the null hypothesis of no association between weight-loss drug use and presence of a CNS disorder?
Dental health issues remain a barrier to attendance, as evidenced by a 2010 Los Angeles School Attendance Review Board (SARB), which lists dental health, along with homelessness, in the top barriers to attendance. The Dental Hygiene program at West Los Angeles College collects data on its clinic patients to help instructors and students better understand their patient population. From July 2017 to December 2019 the program treated 3421 patients. Students were asked to analyze a random sample of 127 patients from that time period and found that 36.4% had severe periodontal disease (infections and inflammation of the gums and bone that surround and support the teeth). Identify the population: Identify the sample: Identify the parameter of interest: Identify the statistic:
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.
The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender: Opinion Female Male Almost no chance 120 104 Some chance but probably not 141 158 A 50-50 chance 454 499 A good chance 742 729 Almost certain 1168 764 What percent of females thought that they were almost certain to be married in the next 10 years?
This year’s water pollution readings at State Park Beach seem to be lower than last year. A sample of 30 readings was randomly selected from this year’s daily readings: 3.6 3.9 3.3 3.4 3.8 3.7 3.5 3.6 3.7 3.6 3.6 3.7 3.9 3.8 3.7 4.0 3.7 3.5 3.8 3.6 3.5 3.6 3.5 3.7 3.6 3.9 3.9 3.7 3.6 3.5 Researchers want to know if this is sufficient evidence to conclude that the mean of this year’s pollution readings is significantly lower than last year’s mean of 3.8. If the p-value is less than 0.0001, what is your decision (let α = 0.05) ? Retain Ho Reject Ho
A real-estate appraiser wants to verify the market value for homes on the east side of the city that are very similar to size and style. The appraiser wants to test the popular belief that the average sales price is $37.80 per square foot for such homes. Suppose that a random sample of six sales were selected. The sampled sales prices per square foot are $35.00, $38.10, $37.20, $29.80, $30.30, and $35.40. Assuming a normal distribution is a good model for sales, test the claim that the mean sales price per square foot differs from $37.80 at the 1% significance level.
Thirty randomly selected students were asked how many self- help books they have read in the last three years. Their responses are in the following frequency table.
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?

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