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- States (and provinces) that have control over taxation sometimes reduce taxes in an attempt to spur economic growth. Suppose that you are hired by a state to estimate the effect of corporate tax rates on, say, the growth in per capita gross state product (GSP).(i) What kind of data would you need to collect to undertake a statistical analysis?(ii) Is it feasible to do a controlled experiment? What would be required?(iii) Is a correlation analysis between GSP growth and tax rates likely to be convincing? Explain.Provide an analysis of the evidence emerging from tables 1 and 2.Investigators enrolled 2,100 women in a study and followed them monthly to determine the incidence rate of heart disease. After one month of the first period of observation, none had a new diagnosis of heart disease, but 100 had died. In the second observation period which lasted for three months, 1 had a new diagnosis of heart disease within 1 month, and another 99 died within 2 months. In the third observation period which lasted for four months, another 7 had new diagnoses of heart disease and 793 died within 2 months. Calculate the incidence rate of heart disease among this cohort. Express in 2 decimal places as number of new cases per 1,000 person-time.
- Researchers conducted a prospective cohort study to assess the association between dietary supplements and cognitive ability among children. A total of 500 children age 12-17 years who take an omega-3 fatty acid supplement are compared with 500 children age 12-17 years who do not take an omega-3 fatty acid supplement. Researchers follow the children for 2 years. During this time, 300 children who take the supplement earn what is classified as a “high” score on a cognitive test while 200 children who do not take the supplement earn what is classified as a “high” score on the same cognitive test. Show calculations. a) Construct a 2x2 table from the information presented above b) The risk difference is:E. coli cells were infected with two strains of T4 virus. One strain is minute (m), rapid lysis (r), and turbid (t); the other is wild type for all three markers. The lytic products of this infection were plated and classified. The resulting 10,342 plaques were distributed among eight genotypes as follows:a. What are the linkage distances between m and r, between r and t, and between m and t. b. Determine the linkage order for the three genes. c. What is the coefficient of coincidence (see Chapter 4) in this cross? What does it signify?how does freidman reconcile the the apperent inconsistency between short term and long term empirical evidence
- The following information applies to questions 34 and 35. Assume that driving skill, S, varies throughout the population. Automobile insurers classify drivers into two categories: “Good” and “Bad”. Good drivers are those people who have driving skills above a threshold level of driving skill, S*. Bad drivers, on the other hand, have driving skills that fall below the threshold level, S*. Good drivers pay lower rates than Bad drivers. Additionally, assume that it’s common knowledge that Welsh are more skillful drivers than Scots, such that a higher proportion of the Welsh population has driving skills above S* than the Scottish population. Also assume that there is a law that prohibits insurers from learning a person’s driving skill. Which group would be most likely to invest in a lobbying campaign supporting a law that would prohibit the use of these new data collection devices? A. Welsh with driving skills greater than S* B. Scots with driving skills…The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month. Day 1 2 3 4 Day shift 11 12 13 19 Afternoon shift 9 10 14 15 At the 0.025 significance level, can we conclude there are more defects produced on the day shift? Hint: For the calculations, assume the day shift as the first sample. State the decision rule. (Round your answer to 2 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) What is the p-value? multiple choice 1 Between 0.05 and 0.10 Between 0.001 and 0.005 Between 0.005 and 0.01 What is your decision regarding H0? multiple choice 2 Do not reject H0 Reject H0Expain the Singer-Prebisch test/hypothesis.
- Is it true or false that endogenous sample selection will not cause bias in the OLS estimator.Mary Arnold wants to use the results of a random sample market survey to seek strong evidence that her brand of breakfast cereal has more than 20% of the total market. Formulate the null and alternative hypotheses, using P as the population proportion.This is the ultility function of the Overlapping genrations model. The question is what does alpha stand for ?