Determine (a) the x2 test statistic, (b) the critical value using a = 0.05, and (c a = 0.05 level of significance. %3D 1 Ho: PA = PB = Pc = PD 4 H,: At least one of the proportions is c
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- How do I find the standardized test statistic z? How would I find it with a ti84 plus calculator. A research center claims that at least 24% ofadults in a certain country think that their taxes will be audited. In a random sample of 1100 adults in that country in a recent year, 19%say they are concerned that their taxes will be audited. At alpha = 0.10, is there enough evidence to reject the center's claim? Find the critical value(s) and identify the rejection region(s). Find the standardized test statistic z.Auto noise filters In a statement to a Senate Public WorksCommittee, a senior executive of Texaco, Inc., cited astudy on the effectiveness of auto filters on reducing noise. Because of concerns about performance, two types of fil-ters were studied, a standard silencer and a new device developed by the Associated Octel Company. Here are theboxplots from the data on noise reduction (in decibels) ofthe two filters. Type 1 = standard; Type 2 = Octel. ANOVA Table Source DFSum ofSquaresMeanSquare F-Ratio P-ValueType 1 6.31 6.31 0.7673 0.3874Error 33 271.47 8.22Total 34 2.77Means and Std DeviationsLevel n Mean StdDevStandard 18 81.5556 3.2166Octel 17 80.7059 2.43708a) What are the null and alternative hypotheses?b) What do you conclude from the ANOVA table?c) Do the assumptions for the test seem to be reasonable?d) Perform a two-sample pooled t-test of the difference.What P-value do you get? Show that the square of thet-statistic is the same (to rounding error) as the F-ratio.test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. Bednets to Reduce Malaria In a randomized controlled trial in Kenya, insecticide-treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria (based on data from “Sustainability of Reductions in Malaria Transmission and Infant Mortality in Western Kenya with Use of Insecticide-Treated Bednets,” by Lindblade et A., Journal of the American Medical Association, Vol. 291, No. 21). We want to use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be…
- Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. (b) the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] (c) the sample standard deviation (d) s2 using the shortcut methodWe have a sample of 2,400 geriatric patients who are in an assisted living home, of which 1,200 participated in a new preventative Drug A. Rates of UTIs tend to be higher than average among this population. As part of a preventative and treatment intervention, we are examining the performance of several drugs: Preventative Drug (before the onset of UTI) Drug A: preventative UTI drug taken daily in hopes to prevent the growth of bacteria that causes UTIs Treatment Drugs (after the onset of UTI) Drug B: New antibiotic for treating UTIs Drug C: Conventional antibiotic for treating UTIs Information for how many patients took each drug or combination of drugs is summarized below in the two tables. Use these to answer questions a) -d) Table 1. Summary of performance of drug A: UTI rates among those taking and not taking drug A Did not take Drug A Did take Drug A Total UTI 759 887 1646 No UTI 441 312 753 Total 1200 1200 2400 Table 2. Summary of performance of drug B and C: recovery…The researcher is interested to find out if the proportion of urban companies that adopted the new accounting standards is significantly higher than the proportion of rural companies that adopted the new accounting standards. To test the hypothesis a random sample of 90 urban and 100 rural companies is taken, with 45 urban and 35 rural companies indicating that they have adopted the new standards. The hypothesis is tested with the significance level of alpha=0.01 Find the T stat, critical value, P value, and what does it mean for the hypothesis (what can be concluded)
- J 1 explain Diagnostic Test On Normality, Heteroscedasticity And MulticollinearityThe yield of a chemical process is being studied. The two most important variables are thought to be pressure and the temperature. Three levels of each factor are selected, and a factorial experiment with the two replicates is performed. The yield data follow: Question: (Use Alpha = 0.05) Is there any indication that either factor influences brightness? Do the two factors interact?All Fresh Seafood is a wholesale fish company based on the east coast of the U.S. Catalina Offshore Products is a wholesale fish company based on the west coast of the U.S. Table #9.2.5 contains prices from both companies for specific fish types ("Seafood online," 2013) ("Buy sushi grade," 2013). Do the data provide enough evidence to show that a west coast fish wholesaler is more expensive than an east coast wholesaler? Test at the 5% level. (Show work) Table #9.2.5: Wholesale Prices of Fish in Dollars Fish All Fresh Seafood Prices Catalina Offshore Products Prices Cod 19.99 17.99 Tilapi 6.00 13.99 Farmed Salmon 19.99 22.99 Organic Salmon 24.99 24.99 Grouper Fillet 29.99 19.99 Tuna 28.99 31.99 Swordfish 23.99 23.99 Sea Bass 32.99 23.99 Striped Bass 29.99 14.99
- Using the z table, find the critical value (or values) for alpha = 0.12 right-tailed test.An urban community wants to show that the incidence of breast cancer is higher in their locality than in a neighboring rural area. (PCB levels were found to be higher in the soil of the urban community). If you find that in the urban community 20 out of 200 adult women have breast cancer and that in the rural community 10 out of 150 adult women have it, could you conclude, at a significance level of 0.05, that breast cancer is more prevalent in the urban community?1. The parameter of interest is:2. The hypotheses for this test are:3. The calculated test statistic is:4. The critical region is:5. Draw the critical region (make decision):6. It can be concluded that:What is the relationship between power and N, size of real effect, and alpha level? How does power fit into the hypothesis testing process? Compare the z test and t test for single samples. What are the advantages and disadvantages of each? Discuss. In presenting the t test for single samples, it was necessary to introduce the concept of degrees of freedom. However, no such discussion was needed in presenting the z test for single samples. What is the explanation of this difference?