A new rocket-launching system is being considered for deployment of small, short-range rockets. A sample of 40 experimental launches is made with the new system, and 34 are successful. a. 75.12% to 94.88% 70.46% to 99.54% 75.71% to 94.29% 73.93% to 96.07% of the 201 b. Provide a 95% confidence interval for the true launch success rate of the new system. ✓ [Select] ai m? achieve a margin
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- In an article in the Journal of Advertising, Weinberger and Spotts compare the use of humor in television ads in the United States and the United Kingdom. They found that a substantially greater percentage of U.K. ads use humor.a. Suppose that a random sample of 400 television ads in the United Kingdom reveals that 142 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.K. television ads that use humor.b. Suppose a random sample of 500 television ads in the United States reveals that 122 of these ads use humor. Find a point estimate of and a 95 percent confidence interval for the proportion of all U.S. television ads that use humor.c. Do the confidence intervals you computed in parts a and b suggest that a greater percentage of U.K. ads use humor? Explain.A poll conducted in January 2020 surveyed likely democrat primary voters about who they would vote for in the primary election in 2020 and found the following results for the top 4 candidates: Joe Biden: 18% Bernie Sanders: 17% Elizabeth Warren: 16% Pete Buttigieg: 14% With a margin of error (AKA a 95% confidence interval) of ±4.1%. From a statistical standpoint, who would likely win the democrat primary if it was held on the day of the survey?A manufacturer of compact disks players uses a set of comprehensive tests to access the electrical components of one of its products. All compact disks must pass tests prior to being sold. A random sample of 500 disks players resulted in 485 failing in one or more tests. Find a 90% confidence interval for the proportion of compact disk players from thepopulation that pass all tests.
- In a particular year, approximately 136,943,000 people visited an emergency room in the United States. In a random sample of 100,000 visits, 12,462 were subsequently admitted to the hospital. Provide a 99% confidence interval for the proportion of people visiting an emergency room who were subsequently admitted to the hospital. a) 0.121745 to 0.127495 b) 0.121930 to 0.127310 c) 0.122573 to 0.126667 d) 0.122902 to 0.126338In an experiment of normal body temperatures in degrees Fahrenheit, 6 males ages 25-40 were given a random temperature check. The results were as follows: 97.1 99.0 98.2 98.9 98.1 99.4 a. Construct and interpret a 95% Confidence Interval for the average normal body temperature of males ages 25-40. b. Construct and interpret a 95% Prediction Interval for the next temperature taken. c. The average normal body temperature is generally accepted as 98.6 °F. Given the above data, should scientists reconsider this general statement? Use ? = 0.05.In a recent questionnaire about homeownership, a random sample of 545 homeowners were asked about fixed and adjustable-rate mortgages, and 268 reported that they have an adjustable-rate mortgage. What value of z should be used to calculate a confidence interval with a 95% confidence level? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
- Suppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…A research group studying cell phone habits asked the question “Do you ever use your cell phone to make a payment at a convenience store?” to people selected from two random samples of cell phone users. One sample consisted of older adults, ages 35 years and older, and the other sample consisted of younger adults, ages 18 years to 34 years. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125)(0.097,0.125) to estimate the difference (younger minus older) between the population proportions 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? In repeated random sampling with the same sample size, approximately 95% of the sample proportions from the younger group will be between 0.097 and 0.125 greater than the sample proportion from the older group. A In repeated random sampling with the same sample size,…Bulletproof Vests. In the article “A Common Police Vest Fails the Bulletproof Test,” E. Lichtblau reported on a U.S. Department of Justice study of 103 bulletproof vests containing a fiber known as Zylon. In ballistics tests, only 4 of these vests produced acceptable safety outcomes (and resulted in immediate changes in federal safety guidelines). Find a 95% confidence interval for the proportion of all such vests that would produce acceptable safety outcomes by using the a. one-proportion z-interval procedure. b. one-proportion plus-four z-interval procedure. (See page 556 for the details of this procedure.) c. Explain the large discrepancy between the two methods. d. Which confidence interval would you use? Explain your answer.
- An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 40 have recently had the flu. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu. A. 11.80% (40/339) of East Vancouver residents have recently had the flu. ? true false B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 40/339. ? true false C. If another random sample of 339 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 40/339. ?…In a random sample of 850 consumers. 385 reported that they were able to purchase a Playstation 5. Which of the following is a 98% confidence interval for the population proportion of consumers that were able to purchase a Playstation 5? A) (0.4131, 0.4927) B)(0.4089, 0.4969) C)(0.4248, 0.4810) D) (0.4194, 0.4864)3) A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question regarding a dating problem. Forty-three students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help. Construct a 98% confidence interval for p1-p2