Show your work to determine how many people should be surveyed
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We want to perform a survey to answer the question: What proportion of California voters believe that
Governor Newsom did a good job of steering California through the crisis caused by Covid-19?
We plan to survey a random sample of California voters. We want to be able to make a 95% Confidence
Interval which has a “margin of error” [what we’ve been calling E for the maximum likely error estimate
and your book calls the ‘EBP’ for error bound for a proportion] of 3% = .03
Since we don’t have any data from prior surveys, we’ll play it safe and assume that p = .50 for our
calculation.
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- Pain after surgery: In a random sample of 60 patients undergoing a standard surgical procedure, 16 required medication for postoperative pain. In a random sample of 80 patients undergoing a new procedure, only 14 required pain medication. Part: 0 / 2 Part 1 of 2 (a) Construct a 99.9% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. Let p, denote the proportion of patients who had the old procedure needing pain medication. Use tables to find the critical value and round the answer to at least three decimal places. A 99.9% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures is10. The military has two different programs for training aircraft personnel. A government regulatory agency has been commissioned to evaluate any differences that may exist between the two programs. The agency administers standardized tests to randomly selected groups of students from the two programs. The results of the tests for the students in each of the programs are as follows Military Training Programs Program A Program B 11 50 55 New Battery Old Battery ki 85 87 a. Calculate a 99% confidence interval for the difference between the average scores of the two military programs. Interpret the interval. b. Can the agency conclude that there is a difference in the average test scores of students in the two programs? Use a-0.01. 9 11. Tom Sealack, a supply clerk with the Navy, has been asked to determine if a new battery that has been offered to the Navy (at a reduced price) has a shorter average life than the battery they are currently using. He randomly selects batteries of each type…C12. According to a report published by the Pew Research Center in February 2010, 61% of Millennials (Americans in their teens and 20s) think that their generation has a unique and distinctive identity (N= 527).18 %3D a. Calculate the 95% confidence interval to estimate the percentage of Millennials who believe that their generation has a distinctive identity as compared with the other generations (Generation X, baby boomers, or the Silent Generation). b. Calculate the 99% confidence interval.1. Getting a good night's sleep is essential for teenage students to perform optimally during school. According to the National Sleep Foundation, high school students need at least 8 hours of sleep for optimal performance at school the following day. Based on a sleep study of 459 students, a 95% Confidence Interval for the true mean sleeping time (in hours) was calculated to be (7, 7.28) hours. a. Researchers want to test if students, on average, are getting more than the required amount of sleep to perform optimally at school. State the null and alternative hypothesis in proper notation. b. What conclusion can you make about the null and alternative hypothesis based on the confi- dence interval ?Pain after surgery: In a random sample of 42 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 90 patients undergoing a new procedure, only 11 required pain medication. Part: 0 / 2 Part 1 of 2 (a) Construct a 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. Let p, denote the proportion of patients who had the old procedure needing pain medication. Use tables to find the critical value and 1 round the answer to at least three decimal places. A 95% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures is10. A research group studying the use of Apple Pay asked the question, "Do you ever use Apple Pay to make a payment at a grocery store?" to people selected from two random samples. One sample consisted of older adults, aged 35 years and older, and the other sample consisted of younger adults, ages 18 to 34 years old. The proportion of people who answered yes in each sample was used to create a 95 percent confidence interval of (0.097,0.125) to estimate the difference (younger minus older) between the population 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? a) The probability is 0.95 that the difference in the population proportions of people who would answer yes to the question is between 0.097 and 0.125. b) The probability is 0.95 that the difference in the sample proportion of people who would answer yes to the question is between 0.97 and 0.125. c) In repeated random sampling with the same…2) Suppose that we want to estimate the 0.80 quantile of average daily waiting time in the queue for assembly process in a manufacturing system and form 90% confidence interval for it, based on R=20 replications. The average waiting time data collected from a simulation model of the manufacturing system is given in Table 1 below. Replication Avg. Waiting Replication Avg. Waiting Replication Avg. Waiting Replication Avg. Waiting No No No Time No Time 1 16 4,8 6 2,3 11 2,2 7 3,8 3,9 2,2 8 2,2 4,5 9 2,1 4,4 2,3 2,4 10 3,1 4,3 a. Calculate the point estimator and interpret it b. Calculate the confidence interval 2 3 4 5 Time 3,3 12 13 14 15 Time 2,5 3,3 3,2 4 3,4 17 18 19 20(a) A performance analyst simulated a computer system a total of 10 times, each simulation run independent of all the others. She calculated and recorded the sample means for system response time from each of the 10 runs, coming up with the following data (measured in seconds): 6,15,17,8,9,7,10,25,5,11 i) What is the confidence interval with a 95% confidence level for the mean response time? If measurements from the real system gave a mean figure of 12 seconds for the response time, Comment on the statistical validity of the confidence intervals constructed in part (i). ii)6.27 Public Option, Part III: Exercise 6.13 presents the results of a poll evaluating support for the health care public option plan in 2009. 70% of 819 Democrats and 42% of 783 Independents support the public option. (a) Calculate a 95% confidence interval for the difference between (pD - pI) and interpret it in this context. We have already checked the conditions for you. The confidence interval is: ( ____%, ____%) (please round to the nearest percent)Pain after surgery: In a random sample of 54 patients undergoing a standard surgical procedure, 15 required medication for postoperative pain. In a random sample of 94 patients undergoing a new procedure, only 16 required pain medication. Part: 0/ 2 Part 1 of 2 (a) Construct a 99% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures. Let p, denote the proportion of patients who had the old procedure needing pain medication. OL Use tables to find the critical value and round the answer to at least three decimal places. A 99% confidence interval for the difference in the proportions of patients needing pain medication between the old and new procedures is5.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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