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- You may need to use the appropriate appendix table or technology to answer this question. Fewer young people are driving. In year A, 62.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 48.7%. Suppose these results are based on a random sample of 1,500 people under 20 years old who were eligible to have a driver's license in year A and again in year B. (a) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.) At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.) _________ to ______________ (b) At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year B? (Round your…A report describes a survey of 500 licensed drivers. Each driver in the sample was asked if they would prefer to keep complete control of the car while driving, to use a partially self-driving car that allowed partial driver control, or to turn full control over to a driverless car. Suppose that it is reasonable to regard this sample as a random sample of licensed drivers in the United States, and that you want to use the data from this survey to decide if there is evidence that fewer than half of all licensed drivers in the United States prefer to keep complete control of the car while driving. (d) The actual sample proportion observed in the study was p̂ = 0.44. Based on this sample proportion, is there convincing evidence that fewer than 50% of licensed drivers prefer to keep complete control of the car when driving, or is the sample proportion consistent with what you would expect to see when the null hypothesis is true? Support your answer with a probability calculation. (Round…Suppose administrators at a large school district decide to institute mandatory study halls at their middle schools in an effort to boost their students' academic performance. After one year, a guidance counselor decides to test whether students' grade point averages (GPAs) have improved compared to the previous school year. The counselor selects a random sample of 40 eighth-graders from throughout the district who were also enrolled in the district for seventh grade. He records their GPAs for grades seven and eight, and for each student, calculates the difference between the two. The counselor's data is summarized in the given table. Variabledescription Samplemean Sample standarddeviation Standarderror estimate seventh grade GPA x¯= 2.64796 s=0.45763 SE=0.07236 eighth grade GPA x¯=2.78543 s=0.54764 SE=0.08659 difference (8th - 7th) x¯=0.13747 s=0.34586 SE=0.05469 The counselor plans to use this information to conduct a matched-pairs t‑test of the null hypothesis H0:μ=0…
- According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test. A. Define the null and alternative hypotheses to test this claim. B. By hand, calculate the test statistic for this test. C. Use…An article about the California lattery gave the following information on the age distribution of adults in California: 35% are between 18 and 34 years old, 51% are between 35 and 64 years old, and 14% are 65 years old or older. The artide also gave Information on the age distribution of those who purchase lottery tickets. The following table is consistent with the values given in the article. Suppose that the data resulted from a random sample of 200 lattery ticket purchasers. Based on these sample data, is it reasonable to condude that ane or more af these three age groups buys a disproportionate share of lottery tickets? Use a chi-square goodness-of-fit test with a- 0.05. (Round your answer to two decimal places.) Age of Purchaser Frequency 18-34 45 35-64 100 65 and over 55 P-value interval OpHow many subjects in the "patch only" group would you expect not to quitA researcher is conducting an experimental study on the effect of aspirin on heart attack risk. In order to assign who will receive aspirin and who will receive a placebo, she first divides her study into three age groups (18-29, 30-49, and 50 or older). She then randomly assigns individuals within these age groups to either receive aspirin or the placebo. This is an example of a cluster ?In a random sample of 1,000 people, it is found that 7.2% have a liver ailment. Of those who have a liver ailment, 10% are heavy drinkers, 50% are moderate drinkers, and 40% are nondrinkers. Of those who do not have a liver ailment, 13% are heavy drinkers, 46% are moderate drinkers, and 41% are nondrinkers. If a person is chosen at random, and he or she is a heavy drinker, what is the empirical probability of that person having a liver ailment? (Hint: Draw a tree diagram first)2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge-drinking" behavior: having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college who binge drink is actually lower than the national proportion. In a commissioned study, 346 students are selected randomly from a list of all students enrolled at the college. Of these, 135 admit to having engaged in binge drinking.The college president is more interested in testing her belief that the proportion of students at her college who engage in binge drinking is lower than the national proportion of 0.41. What is the P-value? (Round your answer to four decimal places.) P-value =According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately, click fraud-the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue-has become a problem. According to BusinessWeek, 31% of advertisers claim they have been a victim of click fraud. Suppose a simple random sample of 280 advertisers will be taken to learn more about how they are affected by this practice. Use z-table. a. What is the probability that the sample proportion will be within ±0.05 of the population proportion experiencing click fraud? (to 4 decimals) b. What is the probability that the sample proportion will be greater than 0.35? (to 4 decimals) 0- Icon Key « Question 5 of 7 ►