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- Suppose that 25% of patients with MI in 2000 died within24 hours. This proportion is called the 24-hour case-fatalityrate. How large a sample is needed in Problem 7.15 toachieve 90% power? problem7.15 Suppose we eventually plan to accumulate 50 MIcases during the period 2010–2015. Assume that the24-hour case-fatality rate is truly 20% during this period.How much power would such a study have in distinguishingbetween case-fatality rates in 2000 and 2010–2015 if atwo-sided test with significance level .05 is planned?Suppose that your friend sees the results from question 4 and concludes that heavier drinking causes more tobacco use. Do you agree or disagree with this conclusion? Explain.A company is testing a new drug and wants to determine what is the most effective dose in reducing the size of cancerous tumors. The company randomly select a sample of 32 individuals and randomly assigns them into 4 groups of 8 each. One group get 5mg of drug x, a second group get 10mg, a third group gets 15 mg, and the fourth group gets 20mg. After two months the company finds the average size of the tumors to be 40mm, 37mm, 26mm, and 12mm for each group, respectively. (1) State the null and alternative hypotheses for this study (2) What is the dependent and independent variable for this study (3) What test statistic/hypothesis test would you select to determine if the means are significantly difference at the alpha .05 level? (4) What critical value would you use to make your decision to reject or retain the null hypothesis at alpha .05?
- Hello, I am struggling with problem 11. We use stat crunch for these problems but I don’t know the approach for 2 box plots.Problem 1: In 2008, data from the Center for Disease Control revealed that 28.5% of all male teenagers, aged 18-19 and attending U.S. colleges were overweight. The definition of overweight is a body mass index (BMI) of over 25. In 2019, a professor in public health at a major university wanted to determine whether that proportion had decreased since 2008. So, he sampled 800 randomly selected incoming male freshman at universities around the country. Using the BMI measurements, he found that 210 of them were overweight. Test the professor’s claim at an α = 0.05 level of significance, the proportion of obese male teenagers in American colleges decreased. Make sure that any necessary assumptions for conducting the hypothesis test are satisfied. A) State the null and alternative hypothesis. H0: Ha: B) Determine the critical value(s) for the test. C) Compute the test statistic (show…The management of BCD Inc. would like to separate the fixed and variable components of electricity as measured against machine hours in one of its plants. Data collected over the most recent six months follow:Electricity MachineMonth Cost Hours January $1,100 4,500February 1,110 4,700March 1,050 4,100April 1,200 5,000May 1,060 4,000June 1,120 4,600Required: 1. Using the method of least squares, compute the fixed cost and the variable cost rate for electricity expense. (Round estimates to the nearest cent.) 2. Compute coefficients of correlation and determination
- Problem 3. Suppose a test for detecting a certain rare disease has been perfected that is capable of discovering the disease in 97% of all afflicted individuals. Suppose further that when it is tried on healthy individuals, 5% of them are incorrectly diagnosed as having the disease. Finally, suppose that when it is tried on individuals who have certain other milder diseases, 10% of them are incorrectly diagnosed. It is known that the percentages of individuals of the three types being considered here in the populations at large are 1%, 96%, and 3%, respectively. Calculate the probability that an individual, selected at random from the population at large and tested for the rare disease, actually has the disease if the test indicates he is so afflicted.In the oil-wildcatting problem (book chapter 7), suppose that the company could collect information from a drilling core sample and analyze it to determine whether a dome structure exists at Site 1. A positive result would indicate the presence of a dome, and a negative result would indicate the absence of a dome. The test is not perfect, however. The test is highly accurate for detecting a dome; if there is a dome, then the test shows a positive result 99% of the time. On the other hand, if there is no dome, the probability of a negative result is only 0.85. Thus, P(+ | Dome) = 0.99 and P(- | No Dome) = 0.85. Use these probabilities, the information given in the example, and Bayes' theorem to find the posterior probabilities P(Dome | +) and P(Dome | -). If the test gives a positive result, which site should be selected? Calculate expected values to support your conclusion! If the test result is negative, which site should be chosen? Again, calculate expected valuesA data with 18 points will be integrated as accurately as possible using a combination of Simpson's rules. It will require ____ applications of Simpson's 3/8th rule and _____ applications of Simpson's 1/3rd rule
- If a researcher wants to find out the average monthly expenses of all university students in Edmonton, this average would be an example of ________ . a. samplecross out b. statisticcross out c. populationcross out d. parameterThe main trial in problem 7 is conducted and involves a total of 200 patients. Patients are enrolled and randomized to receive either the experimental medication or the placebo. The data shown below is collected at the end of the study after 6 weeks on the assigned treatment. Test if there is a significant difference in the proportions of hypertensive patients between groups using a=0.05Compare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?