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- A nonprofit organization conducted a survey of 2140 metropolitan-area teaches regarding their beliefs about problems that hamper students’schooling. The following data were obtained:-900 said that lack of parental support is a problem.-890 said that abused or neglected children are problems. -680 said that malnutrition or students in poor health is a problem-120 said that lack of parental supportand abused or neglected children are problems-110 said that lack of parental support and malnutrition or poor health are problems-140 said that abused or neglected children and malnutrition or poor health are problems-40 said that lackof parental support, abuse or neglect, and malnutrition or poor health are problemsWhatis the probability that a teacher selected at random from this group said that lack of parental support is the only problem hampering students’schooling?what would be a careful interpretation of the 12% in the two-way table?The National Association of Realtors estimates that 23% of all homes purchased in 2004 were considered investment properties. If a sample of 800 homes sold in 2004 is obtained and it was noted that 248 homes were to be used as investment property, would this be unusual? Answer either "yes" or "no" and provide the justification for your answer.
- The U.S. Department of Transportation reported that during November, 83.4% of Southwest Airlines' flights, 75.1% of US Airways' flights, and 70.1% of JetBlue's flights arrived on time (USA Today, January 4, 2007). Assume that this on - time performance is applicable for flights arriving at concourse A of the Rochester International Airport, and that 40% of the arrivals at concourse A are Southwest Airlines flights, 35% are US Airways flights, and 25% are JetBlue flights. An announcement has just been made that Flight 1424 will be arriving at gate 20 in concourse A. What is the most likely airline for this arrival? What is the probability that Flight 1424 will arrive on time? Suppose that an announcement is made saying that Flight 1424 will be arriving late. What is the most likely airline for this arrival? What is the least likely airline? Develop a joint probability table with three rows (airlines) and two columns (on-time arrivals vs. late arrivals). What is the highest probability…According to the American Management Association, most U.S. companies now test at least some employees and job applicants for drug use. The U.S. National Institute on Drug Abuse claims that about 15% of people in the 18-25 age bracket use illegal drugs. Allyn Clark, a 21 year-old college graduate, applied for a job at the Acton Paper Company, took a drug test, and was not offered a job. He suspected that he might have failed the drug test, even though he does not use drugs. In checking with the company's personnel department, he found that the drug test has 99% sensitivity, which means that only 1% of drug users incorrectly test negative. Also, the test has 98% specificity, meaning that only 2% of nonusers are incorrectly identified as drug users. Allyn felt relieved by these figures because he believed that they reflected a very reliable test that usually provides good results. But is this really true? The accompanying table shows data for Allyn and 1,499 other job applicants. Based…According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. A) Verify that nP0(1-P0)>10 and n< 0.05N (Assume the population sizes is N=40 million) B) State the appropiate null and alternative hypotheses. C) Indicate whether the hypothesis is left, right, or two- tailed.
- According to the Pew Research Center,on the propotion of the American population who use only a cellular telephone (landline) is 0.37. Jason conducts a survey of one hundred fifty 20 to 24 year olds who live on their own and finds that 73 do not have a landline to their home. Does this provide sufficient evidence to conclude that the proportion of 20 to 24 year olds who live on their own and don't have a landline is greater than 0.37? Use a=0.10 level of significance. D) Compute the test statistic z0. Round to the nearest hundredth. E) Draw a normal model with the area that represents the P-value shaded. F) Determine and interpret the P-value. What is the conclusion of the hypothesis test?A consulting firm that surveyed consumers’ holiday shopping behavior found that the percentage of consumers from the US, Canada, and China who said that they planned to spend more on holiday shopping were 40%, 34% and 73%, respectively The survey also found that the percentage of consumers from the US, Canada, and China who said that they were willing to share personal information with retailers in order to receive personalized offers from retailers were 55%, 46% and 72%, respectively Assume that there are equal portions of consumers being surveyed from each of the three countries, the survey results are good representations of the three populations of consumers, and whether a consumer plans to spend more on holiday shopping is statistically independent of whether he/she is willing to share personal information with retailers in order to receive personalized offers from retailers If you randomly select a consumer from the US, what is the probability that the consumer plans to…What is the correct anwser?