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- During the Covid crisis, there were lockdowns and working-from-home, which made collecting data on unemployment more challenging. Researchers from a US University conducted a survey of 1,000 individuals in the labour force to assess rise in unemployment in September 2020. The object was to find out whether the unemployment rate had risen above a benchmark proportion of 5 per cent of the labour force in Scotland. Of the surveyed persons, 60 reported being unemployed in the week prior to the survey. Conduct a two-tailed test of whether unemployment rate during this period was 5 per cent. Set out your null and alternative hypotheses, significance level, test statistic, assumptions and sampling distribution clearly. Conduct the test and comment on the economic significance of the findings.A clinical trial was conducted among 178 patients with advanced melanoma (a type of skin cancer). There were two treatment groups. Group A received Interleukin-2. Group B received Interleukin-2 plus a vaccine. Six percent of Group A patients and 17% of group B patients had a complete or partial response to treatment. One issue is that some patients experience side effects and have to discontinue treatment. It was estimated that 21% of patients receiving Interleukin-2 plus a vaccine developed an arrhythmia (irregular heartbeat) and had to discontinue treatment. Since the side effect was attributable to the vaccine, assume that the patients would continue to take Interleukin-2 if arrhythmia developed but not the vaccine and that the probability of a positive response to the treatment would be the same as group A (i.e., 6%)Suppose we have 10 patients who receive Interleukin-2 plus vaccine of whom 2 develop arrhythmia and 8 do not. What is the probability that exactly 2 of the 10 patients…The Virginia Department of Health publishes COVID-19 vaccination data on their website. As of 10/5/2021, 60.6% of the population of Virginia is fully vaccinated. This rate varies drastically from county to county. Specifically, Fairfax County’s full vaccination rate is 74% and Lee County’s full vaccination rate is 40%. A researcher took a random sample of 14 individuals from Fairfax County and another random sample of 14 individuals from Lee County and asked them whether they could verify that they are fully vaccinated. Each sample was selected in a single day. 1. Calculate the mean and standard deviation of the number of individuals from Fairfax County and Lee County in this sample who are fully vaccinated. Show your work using the binomial mean and binomial standard deviation formulas and provide your two means and two standard deviations in your document. Round your answers to two decimal places. (It is not necessary to use StatCrunch for this part.) 2. Calculate the probability…
- Birthweight In 2003 the Journal of the AmericanMedical Association reported a study examining thepossible impact of air pollution caused by the 9/11 attack New York’s World Trade Center on the weight ofbabies. Researchers found that 8% of 182 babies born tomothers who were exposed to heavy doses of soot andash on September 11 were classified as having low birthweight. Only 4% of 2300 babies born in another NewYork City hospital whose mothers had not been near thesite of the disaster were similarly classified. Does thisindicate a possibility that air pollution might be linked toa significantly higher proportion of low-weight babies?a) Was this an experiment? Explain. b) Test an appropriate hypothesis and state your conclu-sion in context. c) If you concluded there is a difference, estimate thatdifference with a confidence interval and interpret thatinterval in context.During the Covid crisis, there were lockdowns and working-from-home, whichmade collecting data on unemployment more challenging. Researchers fromHeriot Watt University conducted a survey of 1,000 individuals in the labour forceto assess rise in unemployment in September 2020. The object was to find outwhether the unemployment rate had risen above a benchmark proportion of 5per cent of the labour force in Scotland. Of the surveyed persons, 60 reportedbeing unemployed in the week prior to the survey.(i) Conduct a two-tailed test of whether unemployment rate during this periodwas 5 per cent. Set out your null and alternative hypotheses, significancelevel, test statistic, assumptions and sampling distribution clearly. Conductthe test and comment on the economic significance of the findings. (ii) Now conduct a one-tailed test of whether unemployment rate during thisperiod exceeded 5 per cent. Set out your null and alternative hypotheses,significance level, test statistic, assumptions and…A single-case design that involves studying a single behavior in a single participant in a single situation where there is a baseline, introduction of the independent variable, then it is removed and baseline is taken a second time, is referred to as: a) ABAB reversal design b) multiple baseline design c) ABA reversal design d) across behaviors multiple baseline design
- Scenario: A researcher wants to study the effects of childhood stress, genetics, and their interaction for predicting aggression in adults. The researcher recruited 40 subjects, 20 reported they had no childhood stress and 20 reported they experienced severe childhood stress. The researcher is specifically interested in looking at the MAOA gene, because different versions of this gene are linked to aggression. The researcher conducts a genetic test and finds that half of subjects in each group have a gene for low MAOA activity and the other half have the gene for high MAOA activity. The researchers have the subjects self-rate their aggressive behavior over the last 6 months. 1. Given the scenario above, what are the null and alternative hypotheses? 2. Experimental design:a. What are the independent and dependent variables in this study? b. How many levels of each independent variable are there? c. What type of factorial ANOVA is this?The viruses causing problems in strawberry plants are mainly spread by one insect, the strawberry aphid. Carly believes that as aphids feed on leaves, they transmit viruses that can cause a rapid decrease in plant growth. She decides to verify whether or not the number of strawberry aphids found on a plant could be linked to its growth. She therefore randomly chooses 5 strawberry plants at the same stage of development in a virus-infested garden. For each individual plant, she first collects all the aphids present on the plant and weighs them, and then weighs the entire plant to have a measure of plant growth. She obtains the following data. (Attach on side) Is Carly correct in thinking that when the number of aphids on a plant is larger, the growth of the plant is affected (i.e., its weight is smaller)? Apply the appropriate statistical method with a test of significance at α = 0.05.A researcher notes that there seems to be a difference in the prevalence of individuals who are medication adherent and have high levels of education along with a high health literacy and the prevalence of individuals who are not medication adherent and have low levels of education along with a low health literacy. Use the appropriate hypothesis to determine if education level and health literacy status are related (independent) at the 5%. Low Level of Education Low Medication Adherence High Medication Adherence Total Low Health Literacy 91 9 100 High Health Literacy 9 291 300 Total 100 300 400 High Level of Education Low Medication Adherence High Medication Adherence Total Low Health Literacy 96 4 100 High Health Literacy 4 296 300 Total 100 300 400
- Acupuncture. Research reported in 2008 brings to lightthe effectiveness of treating chronic lower back pain withdifferent methods. One-third of nearly 1200 volunteers were administered conventional treatment (drugs, physi-cal therapy, and exercise). The remaining patients got 30-minute acupuncture sessions. Half of these patientswere punctured at sites suspected of being useful andhalf received needles at other spots on their bodies.Comparable shares of each acupuncture group, roughly45%, reported decreased back pain for at least six monthsafter their sessions ended. This was almost twice as highas those receiving the conventional therapy, leading theresearchers to conclude that results were statisticallysignificant.a) Why did the researchers feel it was necessary to havesome of the patients undergo a “fake” acupuncture?b) Because patients had to consent to participate in thisexperiment, the subjects were essentially self-selected—a kind of voluntary response group. Explain why…1.11 Buteyko method, scope of inference: Exercise 1.4 introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life. a) Identify the population of interest and the sample in the study. b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.Cranberry juice It’s common folk wisdom that drinkingcranberry juice can help prevent urinary tract infections inwomen. In 2001 the British Medical Journal reported theresults of a Finnish study in which three groups of50 women were monitored for these infections over 6months. One group drank cranberry juice daily, another group drank a lactobacillus drink, and the third drank nei-ther of those beverages, serving as a control group. In the control group, 18 women developed at least one infection,compared to 20 of those who consumed the lactobacillusdrink and only 8 of those who drank cranberry juice. Doesthis study provide supporting evidence for the value ofcranberry juice in warding off urinary tract infections?a) Is this a survey, a retrospective study, a prospectivestudy, or an experiment? Explain.b) Will you test goodness-of-fit, homogeneity, orindependence?c) State the hypotheses.d) Test the conditions.e) How many degrees of freedom are there?f) Find x2and the P-value.g) State…