EBK MODERN BUSINESS STATISTICS WITH MIC
5th Edition
ISBN: 9780100475038
Author: williams
Publisher: YUZU
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Chapter 8.4, Problem 42E
a.
To determine
Find the margin of error for June poll at 95% confidence interval.
b.
To determine
Find
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In a survey of 600 personnel directors, 40% thought that they would be hiring new personnel over the next three months.
(a) Construct a 97% confidence interval for the proportion of all personnel directors planning to hire personnel over the next three months?
(b) What is margin of error used in (a)?
(c) Find the necessary sample size, if they wish to be accurate within 3% of the true proportion.
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…
According to a poll taken in a certain country, when adults were asked whether they were thriving, struggling, or suffering,
240
out of
439
said they were struggling.
a. What is the value of
p,
the sample proportion that say they are struggling?
b. Check the conditions to determine whether you can apply the CLT to find a confidence interval.
c. Find a 95% confidence interval for the population proportion that say they are struggling.
Chapter 8 Solutions
EBK MODERN BUSINESS STATISTICS WITH MIC
Ch. 8.1 - 1. A simple random sample of 40 items resulted in...Ch. 8.1 - 2. A simple random sample of 50 items from a...Ch. 8.1 - 3. A simple random sample of 60 items resulted in...Ch. 8.1 - 4. A 95% confidence interval for a population mean...Ch. 8.1 - 5. Data were collected on the amount spent by 64...Ch. 8.1 - Travel Taxes. In an attempt to assess total daily...Ch. 8.1 - Prob. 7ECh. 8.1 - 8. Studies show that massage therapy has a variety...Ch. 8.1 - AARP reported on a study conducted to learn how...Ch. 8.1 - 10. Costs are rising for all kinds of medical...
Ch. 8.2 - For a t distribution with 16 degrees of freedom,...Ch. 8.2 - Find the t value(s) for each of the following...Ch. 8.2 - The following sample data are from a normal...Ch. 8.2 - 14. A simple random sample with n = 54 provided a...Ch. 8.2 - Prob. 15ECh. 8.2 - Years to Bond Maturity. A sample containing years...Ch. 8.2 - Quality Ratings of Airports. The International Air...Ch. 8.2 - Unemployment in Older Workers. Older people often...Ch. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.3 - 23. How large a sample should be selected to...Ch. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - 29. Customers arrive at a movie theater at the...Ch. 8.3 - Prob. 30ECh. 8.4 - 31. A simple random sample of 400 individuals...Ch. 8.4 - 32. A simple random sample of 800 elements...Ch. 8.4 - Prob. 33ECh. 8.4 - 34. At 95% confidence, how large a sample should...Ch. 8.4 - The Consumer Reports National Research Center...Ch. 8.4 - 36. According to statistics reported on CNBC, a...Ch. 8.4 - 37. One of the questions on a survey of 1000...Ch. 8.4 - According to Thomson Financial, through last...Ch. 8.4 - Prob. 39ECh. 8.4 - For many years businesses have struggled with the...Ch. 8.4 - 41. Fewer young people are driving. In 1983, 87%...Ch. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8 - 44. A sample survey of 54 discount brokers showed...Ch. 8 - 45. A survey conducted by the American Automobile...Ch. 8 - 46. The 92 million Americans of age 50 and over...Ch. 8 - Russia has recently started a push for stronger...Ch. 8 - 48. The Health Care Cost Institute tracks health...Ch. 8 - A recent article reported that there are...Ch. 8 - 50. Mileage tests are conducted for a particular...Ch. 8 - Prob. 51SECh. 8 - Prob. 52SECh. 8 - 53. The National Center for Education Statistics...Ch. 8 - Prob. 54SECh. 8 - 55. The Pew Research Center has conducted...Ch. 8 - 56. A survey of 750 likely voters in Ohio was...Ch. 8 - The 2003 Statistical Abstract of the United States...Ch. 8 - 58. A well-known bank credit card firm wishes to...Ch. 8 - Prob. 59SECh. 8 - Prob. 60SECh. 8 - case Problem 1 Young Professional Magazine
Young...Ch. 8 - Gulf Real Estate Properties
Gulf Real Estate...Ch. 8 - Metropolitan Research, Inc.
Metropolitan Research,...
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- What is meant by the sample space of an experiment?arrow_forwardList the sample space of each experiment. Tossing three coinsarrow_forwardA national media outlet conducted a poll which estimated that 82% of all voters believed global warming exists had a margin of error of +/-3%. Suppose an environmental grop planning a follow-up survey of voters' opinions on global warming wants to determine a 90% confidence interval with a margin of error of no more than +/-2%. How large a sample do they need? Use the media outlet's estimate as the basis for your calculation.arrow_forward
- A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 1.5% margin of error at a 95% confidence level, what size of sample is needed?arrow_forwardRefer to the accompanying data set of 20randomly 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 185arrow_forwardA poll for the presidential campaign sampled 491 potential voters in June. A primarypurpose of the poll was to obtain an estimate of the proportion of potential voters whofavored each candidate. Assume a planning value of p* = .50 and a 95% confidencelevel.a. For p* = .50, what was the planned margin of error for the June poll?arrow_forward
- A telephone company has the business objective of wanting to estimate the proportion of households that would purchase an additional telephone line if it were made available at a reduced installation cost. Data is collected from a random sample of 500 households. The results indicate that 135 of the households would purchase the additional telephone line at a reduced installation cost. - construct a ninety nine percent confidence interval estimate for the population proportion of households that would purchase the additional telephone line.arrow_forwardRefer 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 185arrow_forwardA regional survey of 561 companies asked the vice president of operations how satisfied he or she was with the software support received from the computer staff of the company. Suppose 187 of the 561 vice presidents said they were satisfied. What is the 99% confidence interval for the proportion of the population of vice presidents who would have said they were satisfied with the software support if a census had been taken?arrow_forward
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