Q1 Points = 5+1 6.12 Is college north it? Pa rt 1. [Data changed] Among a simple random sample of 341 American adults who do not have a four-year college degree and are not currently enrolled in school, 47% said they decided not to go to college because they could not afford school. a) A newspaper article states that only a minority of the Americans who decide not to go to college do so because they cannot afford it and uses the point estimate from this survey as evidence. Conduct a hypothesis test to determine if these data provide strong evidence supporting this statement. b) Would you expect a condence interval for the proportion of American adults who decide not to go to college because they cannot afford it to include 0.5? Explain. Q2 Points = 7+1=8 6.26 Full body scan, Part I. A news article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports could implement to uncover potential terrorist attacks." This news piece was based on a survey conducted among a random sample of 1,133 adults nationwide, where one of the questions on the survey was "Some airports are now using 'full-body' digital x-ray machines to electronically screen passengers in airport security lines. Do you think these new x-ray machines should or should not be used at airports?" Below is a summary of responses based on party affiliation. Party Affiliation Republican Democrat Independent Should 270 294 352 Should not 34 59 75 Answer Don't know/No answer 15 14 20 Total 319 367 447 (a) Conduct an appropriate hypothesis test evaluating whether there is a difference in the proportion of Republicans and Democrats who think the full- body scans should be applied in airports. Assume that all relevant conditions are met. (b ) The conclusion of the test in part (a) may be incorrect, meaning a testing error was made. If an error was made, was it a Type 1 or a Type 2 Error? Explain.Q3 Points = 1+2+4 =7 7.12 Auto exhaust and lead exposure. Researchers interested in lead exposure due to car exhaust sampled the blood of 65 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 135.32 ug/1 and a SD of 38.64 ug/1; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 45 ug/1. a) Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a different concentration of lead. b) Explicitly state and check all conditions necessary for inference on these data. c) Regardless of your answers in part (b), test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context