C6. According to the GSS 2018, 51% of 218 college graduates reported being interested in environmental issues compared with 43% of 167 high school graduates. a. What is the research hypothesis? Should you conduct a one- or a two-tailed test? Why? b. Present the five-step model, testing your hypothesis at the .05 level. What do you conclude?
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- Low-income students tend to have lower attendance rates and lower math test scores than their middle/upper income peers. Would raising their attendance close the achievement gap? To explore this possibility, a random sample was collected of students in a local school district. For each student, data was collected on their attendance rate (percent of school days attended) and raw test scores on the Algebra 1 state exam. The superintendent of the district asks: “If a student meets our minimum attendance goal (87%), what would their predicted test score be?” In order to answer this question, we first need to find the equation of the least squares regression line. This involves multiple parts, including the slope and intercept. Percent Attendance (x) STAAR Algebra 1 Raw Score (y) 95 45 82 49 61 37 Find the slope for the equation of the least squares regression line: A. 0.5. B. 0.267 C. 1 Find the intercept for the equation of the least squares…state whether the investigation in question is an observational study or a designed experiment. Justify your answer in each case. Do Left-Handers Die Earlier? According to a study published in the Journal of the American Public Health Association,lefthanded people do not die at an earlier age than right-handed people, contrary to the conclusion of a highly publicized report done 2 years earlier. The investigation involved a 6-year study of 3800 people in East Boston older than age 65.Researchers at Harvard University and the National Institute of Aging found that the “lefties” and “righties” died at exactly the same rate. “There was no difference, period,” said Dr. J. Guralnik, an epidemiologist at the institute and one of the coauthors of the report.which of the following individuals is likely to be excluded from a clinical trial? a-individual with other diseases besides the disease of interest b-an individual whose data is considered to be an outlier c-an individual of who is considered to be a minority d-an individual who will have difficulty complying trial protocols.
- 6.6.4 To study the difference in drug therapy adherence among subjects with depression who received usual care and those who received care in a collaborative care model was the goal of a study conducted by Finley et al. (A-21). The collaborative care model emphasized the role of clinical pharmacists in providing drug therapy management and treatment follow-up. Of the 50 subjects receiving usual care, 24 adhered to the prescribed drug regimen, while 50 out of 75 subjects in the collaborative care model adhered to the drug regimen. Construct a 90 percent confidence interval for the difference in adherence proportions for the populations of subjects represented by these two samples.Which of the following can cause OLS estimators to be biased?(i) Heteroskedasticity.(ii) Omitting an important variable.(iii) A sample correlation coefficient of .95 between two independent variables both included in the model.To combat antibiatic resistance, the Quality Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of health took a random sample of 88children under the age of 5who received antibiotics for throat infections and found that 30 did not have a throat swab. At a=.05, is this a statistically significant reduction over last years national rate of 40 percent?
- To combat antibiatic resistance, the Quality Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of health took a random sample of 88children under the age of 5who received antibiotics for throat infections and found that 30 did not have a throat swab. At a=.05, is this a statistically significant reduction over last years national rate of 40 percent?What is the test statistic?A city council is considering a law that would require mask wearing in all public spaces and facilities. A sample has been selected from the community and tested for support of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five step model as a guide and write a sentence or two interpreting your results Age Less than 40 More than 40 Support: For 145 78 223 Against 103 169 272 248 247 4951. A study by a bank compared the average savings of customers who were depositors for three years or less with those who had been depositors for more than three years. The results of a sample are: less than equal to 3 years greater than 3 years Mean Savings Balance $1,200 $1,250 Population Standard deviation $100 $150 Sample Size 10 15 To test that the two groups of customers have equal savings rates, what is the p-value for a two-tailed test? 2. A financial planner wants to compare the yield of income and growth mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income and 40 growth funds. The mean increase for a two-year period for the income funds is $900. For the growth funds, the mean increase is $875. Income funds have a sample standard deviation of $35; growth funds have a sample standard deviation of $45. Assume that the population standard deviations are equal. At the 0.05 significance level, is there a difference in the mean yields of…
- During the Covid crisis, there were lockdowns and working-from-home, which made collecting data on unemployment more challenging. Researchers from Heriot Watt University conducted a survey of 400 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 6 per cent of the labour force in Malaysia. Of the surveyed persons, 34 reported being unemployed in the week prior to the survey. Conduct a two-tailed test of whether unemployment rate during this period was 6 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 findings1.Based on these sample data, is there a statistically significant relationship (at the .05 level) between whether one enters the hospital with lung cancer (vs. something else) and the number of cigarettes one smokes? What justifies this conclusion?In order to answer the question, "Is air pollution worse in Washington or Baltimore?", what kind of statistical analysis would you perform? a. test of hypothesis b. calculate a confidence interval c. perform a linear regression d. calculate a correlation coefficient