In a recent tennis tournament, women playing singles matches used challenges on 139 calls made by the line judges. Among those challenges, 33 were found to be successful with the call overturned. a. Construct a 99% confidence interval for the percentage of successful challenges. b. Compare the results from part (a) to this 99% confidence interval for the percentage of successful challenges made by the men playing singles matches: 17.9%
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- What is meant by the sample space of an experiment?List the sample space of each experiment. Tossing three coinsIn a study by Sallie Mae and Gallup, 323 of the 569respondents said that they paid for their education by taking out student loans. Find a 95% confidence interval for the proportion of students who paid for their education by taking out student loans.
- From a survey of 400 new Wawasan Open University students chosen at random, it was discoveredthat 240 students have been to the library every day. Using this data, construct(a) 95% confidence interval (b) 99% confidence interval for the proportion of students who use the library every dayIn a recent Zogby International Poll, nine of 48 respondents rated the likelihood of a terrorist attack in their community as “likely” or “very likely”. Use the “plus four” method to create a 98% confidence interval for the proportion of American adults who believe that a terrorist attack in their community is likely or very likely. Interpret your confidence interval.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…
- In a survey of 500 students, 180 students said that they prefer classes on Mondays and Wednesdays rather than on Tuesdays and Thursdays. Using a 95% confidence interval, answer the following questions. a. What is the margin of error for this study? b. Construct a 95% confidence interval that estimates the proportion of students that prefer classes on Mondays and Wednesdays.An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (b) Given the method used by the environmental science teacher to collect the responses, explain how bias might have been introduced and describe how the bias might affect the point estimate of the proportion of all students at the school who would respond yes to the question.An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (a) How many students were in the sample selected by the environmental science teacher?
- A sample of part time students are asked how many hours per week they work on a job. For the following sample data, determine the boundaries of the 99% confidence interval for µ. Scores: 18 13 12 15 12 Find µAn environmental science teacher at a high school with a large population of students wanted to estimate the proportion of students at the school who regularly recycle plastic bottles. The teacher selected a random sample of students at the school to survey. Each selected student went into the teacher’s office, one at a time, and was asked to respond yes or no to the following question. Based on the responses, a 95 percent confidence interval for the proportion of all students at the school who would respond yes to the question was calculated as (0.584, 0.816 ). (c) The statistics teacher at the high school was concerned about the potential bias in the survey. To obtain a potentially less biased estimate of the proportion, the statistics teacher used an alternate method for collecting student responses. A random sample of 300 students was selected, and each student was given the following instructions on how to respond to the question. • In private, flip a fair coin. • If heads, you…