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- suppose that from a sample of 200,000 new york workers, 32,400 reported traveling more than an hour an day. From this information, statisticians determined that about 16.2% of the workers in the state traveled more than an hou to work every day in 2011. If there were 8,437,512 workers in the entire population, about how many traveled more than an hour to work each day?5) Suppose that you want to understand whether athletes who are older than80 years of age would have higher memory level if they sleep one more hour.What experimental research design should you take? Why did you choose the one over another? DiscussSuppose that 80% of 3–4-year-old children and 70% of5–8-year-old children in a village are vaccinated with QIVvaccine. Also assume that children who are not vaccinatedhave twice the incidence of influenza as the control groupin Table 3.7.3.29 What % of 3–4-year-old children in the village will getinfluenza?3.30 What % of 5–8-year-old children in the village will getinfluenza?3.31 Suppose we identify a 5–8-year-old child with influenzain the village but are uncertain whether the childwas vaccinated. If we make the same assumptions as inProblems 3.29–3.30, then what is the probability that thechild was vaccinated? (Hint: Use Bayes’ rule here.)
- 4.A new vitamin supplementation program is intended to decrease average resting heart rate inindividuals at risk for hypertension. Assume that a team of researchers are hopeful that restingheart rate in their population will get down to less than 68 bpm, in a population with a standarddeviation of 2 bpm. In order to test this goal reduction, the team gathers a SRS of 273participants in their program and calculates a sample average resting heart rate of 74 bpm.A) Carry out a one sample Z test to determine if the team can conclude that the supplementationprogram is successful in meeting their goal reduction in resting heart rate. Use an α=0.05.B) Construct a 95% Confidence interval about the sample mean, and interpret the result.A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-timeaccidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years?b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?Chocolate contains caffeine and an endogenous cannabinoid, as well as a chemical thatmodulates serotonin production; but is it an aphrodisiac, as the Mayans and Aztecs believed?Suppose you conduct a study which measures sex drive in a group of 20 women, after eating 8ounces of chocolate. Given that you have available data from the Kinsey Institute (IndianaUniversity) about the general sex drive for women of the same demographic as in your study, youdecide to compare your group to this population estimate.If testing hypotheses about the effects of chocolate on sex drive, it would be most appropriate tocalculate a ...1)Paired sampled t2)Z-test3)Independent-samples t-test 4)One- sample t-test
- After examining these data for all the jurisdictions, someone notes that certain areas have an unusually high “percent of 18-64 yr-olds with no high school diploma.” Based on this finding, this individual concludes that the high percentages are due to the rising population of immigrants in those areas. Further, the individual argues that any estimates of the associated “percent of low-income working families” in those areas should be recalculated after removing this sub-population from the data set, as they are causing the area to “look bad”. In addition to thinking critically, use the key rules about linear regression and extrapolation to write a statistically appropriate and socially responsible response to the individual’s conclusion and argument.Even before the “Ownership Society” programs of Presidents Clinton and Bush, the federal government was heavily involved in the housing market, primarily in the form of tax deductions for mortgage interest payments. In a study just prior to the foreclosure crisis starting in 2008, the Urban Institute stated about 80% of the estimated $200 billion of federal housing subsidies consisted of tax breaks (mainly deductions for mortgage interest payments). Samples indicated that federal housing benefits average $8,268 for those with incomes between $200,000 and $500,000 and only $365 for those with incomes of $40,000 to $50,000. The respective standard deviations were $2,100 and $150. They were obtained from sample sizes of 150. To determine the appropriate hypothesis test concerning the average federal housing benefits of the two income groups, it is necessary to determine if the population variances are equal. Conduct a test of hypothesis to this effect using a significance level of…The quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 473 parts passed the test, 20 parts failed the test but were repairable, and 7 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or table)a. Choose the appropriate alternative hypothesis for the test.
- A manufacturer of exercise equipment knows that 15% of their products aredefective. They also know that only 35% of their customers will actually use the equipment in the first year after it is purchased. If there is a one-year warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?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?