The following table lists the percentages of space for eight magazines that contain advertisements and the prices of those magazines. Percentage containing ads 35 42 56 48 67 25 62 34 Price ($) 5.50 6.95 4.95 5.75 3.95 8.25 5.50 6.75 a. Construct a 98% confidence interval for B. Round your answers to three decimal places. to i b. Testing at a 5% significance level, can you conclude that B is different from zero? Based on a 5% significance level test, we conclude that B different from zero.
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- What is meant by the sample space of an experiment?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 185Refer 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 173 185
- The International Nanny Association (INA) reports that in a sample of 928 in- home child care providers (nannies), 128 have passed the INA Nanny Credential Exam (2014 International Nanny Association Salary and Benefits Survey). A. Use Wilson’s adjustment to find a 95% confidence interval for the true proportion of all nannies who have passed the INA certification exam. B. We want to decide whether the proportion of who passed the INA certification exam exceeds than .12 answer both a and b.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…Refer to the data set of 20 randomly selected presidents given below. 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? Jefferson 189 170 Hoover 182 180 Harding 183 178 Coolidge 178 180 Polk 173 185 McKinley 170 178 Taft 182 178 J. Kennedy 183 182 T. Roosevelt 178 175 Wilson 180 182 G. W. Bush 183 185 Jackson 185 171 Clinton 188 188 J. Q. Adams 171 191 J. Adams 170 189 Reagan 185 177 Lincoln 193 188 Truman 175 173 Cleveland 180 180 Garfield 183 187 Construct a 95% confidence interval estimate of the percentage of presidents who were taller than their opponents. If greater height was an advantage. then taller candidates should have won ___________ 50% of the elections. In this…
- The owner of the AGT Gas Station wishes to determine the fraction of customers who pay using a credit card or debit card. A random sample of 100 customers was surveyed and finds that 80 paid using their credit card or debit card. If you are going to construct a 99% confidence interval for the fraction of customers who paid using their credit card or debit card, what will be the value of the margin of error? a. 0.0658 b. 0.103 c. 0.0784 d. 0.0299In 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.In a survey of 2480 golfers, 15% said they were left-handed. The survey's margin of error was 3%. Construct a confidence interval for the proportion of left-handed golfers. a.) (0.12, 0.18) b.) (0.18, 0.21) c.) (0.11, 0.19) d.) (0.12, 0.15)
- 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.Refer to the data set of 2020 randomly selected presidents given below. 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? PRESIDENT HEIGHT HEIGHT OPP Clinton 188 188 Carter 177 183 J. Q. Adams 171 191 Johnson 192 180 Jackson 185 171 F. Roosevelt 188 182 Cleveland 180 180 Harding 183 178 Coolidge 178 180 Buchanan 183 175 G. H. W. Bush 188 173 Eisenhower 179 178 Reagan 185 177 Taylor 173 174 Taft 182 178 Hayes 173 178 J. Adams 170 189 Harrison 168 180 Nixon 182 180 Van Buren 168 180Suppose 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…