From telephone interviews with 980 teenagers, it was found that 765 of those teenagers supported legalization of marijuana. Does this survey substantiate that more than 75% of the teenage population are in favour of legalizing marijuana? Use significance level a = 0.05. State all assumptions. Construct a 95% confidence interval to estimate the true population proportion of teenagers supporting the legalization of marijuana.
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- What is meant by the sample space of an experiment?Construct a 99% confidence interval for the proportion of all motorbike license applications that are misplaced by the department of transport, if a survey found that 20 out of a sample of 175 applications had been misplaced.The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: "Do you believe that it is morally wrong for unwed women to have children?" Of the 1,205 individuals who earned in excess of $100,000 per year, 712 said yes; of the 1,310 individuals who earned less than $100,000 per year, 693 said yes. Construct a 95% confidence interval to determine if there is a difference in the proportion of individuals who believe it is morally wrong for unwed women to have children.The lower bound is _______The upper bound is________. (Round to three decimal places as needed.)
- Given a certain 98% confidence interval is (0.05,0.29), what is the exact value of the margin of error? HINT: It's useful to find the estimate from the sample statistic, first.A professor administers a standardized math te st to his class of 6 5 students. The m ean score (out of a possible 200 points) is 14 5, with a standard deviation of 21 . Construct and interpret a 99% confidence interval for the population mean, rounded to the nearest whole number.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.
- 1) A Gallup poll of 1015 randomly selected adults found that 69% would oppose a law that limited the size of soft drinks and other sugary beverages served in restaurants. Calculate and interpret a 95% confidence interval for the proportion of all adults that would oppose a law limiting the size of soft drinks.To find the proportion of San Diegans subscribed to Disney+ in 2019, a researcher randomly selected 200 people from San Diego and found that 101 were subscribed. b) Find a 95% confidence interval estimate for the true proportion of San Diegans subscribed to Disney+. Round to four decimal places. c) Interpret the interval found in part b.A total of 300 observations of Bob Ramos, an assembly-line worker, were made over a 40-hour workweek. The sample also showed that Bob was busy working (assembling the parts) during 250 observations.a) Find the percentage of time Bob was working.b) If you want a confidence level of 95%, and if {3% is an acceptableerror, what size should the sample be?c) Was the sample size adequate?
- 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 response to a recent GSS survey on whether the Governmentshould impose strict laws to prohibit industries from damaging the environment, 1093 out of1232 subjects said "yes."The 95% confidence interval for p, the population proportion who would say "yes" is