6. The telephone company wants to estimate the proportion of households that would purchase anadditional telephone line if it were made available at a substantially reduced installation cost. Arandom sample of 500 households is selected. The results indicate that 135 of the householdswould purchase the additional telephonē line at a reduced installation cost.a. Construct a 99% confidence interval estimate of the population proportion of households thatwould purchase the additional telephone line.b. How would the manager in charge of promotional programs concerning residential customersuse the results found in 6.a.?

Solution: 6. a. Let X be the number of households would purchase the additional telephone line at a…

Answered: 6. The telephone company wants to…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is meant by the sample space of an experiment?
The figure to the right shows the results of a survey in which 1005 adults from Country A, 1023 adults from Country B, 995 adults from Country C, 1020 adults from Country D, and 1012 adults from Country E were asked whether national identity is strongly tied to birthplace. Country A37%22%27%49%Country BCountry CCountry DCountry E10% Construct a 99% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 99% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is enter your response here ,enter your response here . (Round to three decimal places as needed.)
The figure to the right shows the results of a survey in which 1005 adults from Country A, 1023 adults from Country B, 995 adults from Country C, 1020 adults from Country D, and 1012 adults from Country E were asked whether national identity is strongly tied to birthplace. Country A37%22%27%49%Country BCountry CCountry DCountry E10% Construct a 99% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. Question content area bottom Part 1 The 99% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (enter your response here ,enter your response here ). (Round to three decimal places as needed.)
In a situation where the sample size was decreased from 39 to 29 in a normally distributed data set, what would be the impact on the confidence interval?
After Texas A&M lost again to their rival, the University of Texas, in a football game, the A&M Alumni association decided to conduct a survey to see who wanted to fire the head football coach. Let p represent the proportion of all alumni who favor firing the coach. To guarantee an estimate that is within 0.05 of p at the 95% confidence level, which of the following is the smallest sample size needed? a 269 b 1436 c 385 d 601 e 421
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…
1) A researcher is deciding between a 90% confidence level with a sample size of n=500 and a 99% confidence level with a sample size of n=500. Compared to a 99% confidence level, a 90% confidence level will be * A) narrower and would involve a larger risk of being incorrect. B) wider and would involve a smaller risk of being incorrect. C) narrower and would involve a smaller risk of being incorrect. D) wider and would involve a larger risk of being incorrect. E) narrower and would have the same risk of being incorrect.
3.Michael wants to make a confidence interval estimate for the proportion of community members in favor of a tax increase for more local school funding. If he wants the margin of error to be no more than 0.025 at a 90% confidence level, a)What is the required sample size required to obtain the desired margin of error
Suppose that a safety group surveyed 800 drivers. Among those surveyed, 83% said that careless or aggressive driving was the biggest threat on the road, and 34% 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 a 0.95 probability that the sample proportion of drivers…
In a past presidential election, 37,979,113 people voted for Candidate A 37,758,117 for Candidate B; and 206,521 for third-party candidates. a. What percentage of voters chose Candidate A? b. Would it be appropriate to find a confidence interval of voters choosing Candidate A? Why or why not?
Refer to the accompanying data set of 20 randomly selected presidents. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not? Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. PRESIDENT HEIGHT HEIGHT OPPMcKinley 170 178Lincoln 193 188Reagan 185 177Taft 182 178Harrison 173 168Van Buren 168 180Harding 183 178Eisenhower 179 178Taylor 173 174Garfield 183 187J. Kennedy 183 182Harrison 168 180J. Q. Adams 171 191Clinton 188 188Nixon 182 180Johnson 192 180Hoover 182 180T. Roosevelt 178 175Buchanan 183 175Polk 173 185
The figure to the right shows the results of a survey in which 1015 adults from Country A, 1018 adults from Country B, 1020 adults from Country C, 1014 adults from Country D, and 1024 adults from Country E were asked whether national identity is strongly tied to birthplace. Country A 34% Country B 19% Country C 23% Country D 48% Country E 12% Construct a 99% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed.

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