According to a survey conducted by Pew Research Center in June 2009, 44% of people aged18 to 29 years said that religion is very important to them. Suppose this result is based on asample of 1000 people aged 18 to 29 years.(a)(b)What is the point estimate of the corresponding population proportion?Find, with a 99% confidence level, the percentage of all people aged 18 to 29 yearswho will say that religion is very important to them. What is the margin of error ofthis estimate?

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Answered: According to a survey conducted by Pew…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25).What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test? Passengers survivedCrew 885 212First 325 202Second 285 118Third 706 178Total 2201 710
In a survey of 3213 adults aged 57 through 85 years, it was found that 83.9% of them used at least one prescription medication. Complete parts (a) through (c) below. a. how many of the 3213 subjects used at least one prescription medication? b. construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. c. what do the results tell us about the proportion of college students who use at least one prescription medication?
Suppose the English department of a local university has a total of 105 faculty members. Of this number, 24 (about 23%) are part-time instructors. Is it appropriate to find a confidence interval for the percentage of part-time instructors in the department? Find a 95% confidence interval or explain why you should not find a confidence interval for the percentage of part-time instructors in the English department.
A college professor would like to estimate the proportion of students who pull an "all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who pull an all-nighter is 0.48 to 0.62. Which of these statements is a correct interpretation of the confidence level? O Approximately 99% of all students have pulled an all-nighter. O There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62. If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter. C Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.
45. Dr. Susan Benner is an industrial psychologist. She is currently studying stress among executives of Internet companies. She has developed a questionnaire that she believes measures stress. A score above 80 indicates stress at a dangerous level. A random sample of 15 executives revealed the following stress level scores. 94 78 83 90 78 99 97 90 97 90 93 94 100 75 84 Construct a 95% confidence level for the population mean. According to Dr. Benner's test, is it reasonable to conclude that the mean stress level of Internet executives is 80? Explain. a. b. C. d. X±Z p±z\ p(1-P) n x ±1 -3 n= Za e. None of these. Which formula? 106
In a survey of 1798 US adults, 1365 said they had paid a bill online within the past year. What is the LOWER endpoint of a 90% confidence interval for the population proportion? What is the UPPER endpoint of a 90% confidence interval for the population proportion?
A dermatologist believes that cancers of the head and neck will occur most often of the left side in adults in the US." In a review of 640 cases, 340 occurred on the left side. Test his belief to a confidence level of 95%.
A. Suppose we wish to make an estimate of the proportion of the population that has ever been arrested. We take a random sample of 500 people. In this sample, 10% of the respondents report having ever been arrested. Construct a 95% confidence interval for the proportion of people in the population who have been arrested. 2. Interpret, in words, the meaning of this interval.
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9. According to a poll, eighty seven percent (87%) of California adults (440 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a ninety percent (90%) confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California.What is a point estimate for the true population proportion?
In a survey of 2322 adults, 729 say they believe in UFOS. Construct a 90% confidence interval for the population proportion of adults who believe in UFOS. A 90% confidence interval for the population proportion is (.). (Round to three decimal places as needed.)
In a recent survey of 1264 US adults, 26.6% said they had seen a ghost. What is the LOWER endpoint of a 98% confidence interval for the population proportion? What is the UPPER endpoint of a 98% confidence interval for the population proportion? Answers should be decimals (not percentages).

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