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- A study is being carried out in the operating room of the Regional Hospital of Veraguas to establish whether the type of surgery influences the appearance of nosocomial infections in obese patients who underwent a tubular gastrectomy. The 80 patients in the study are divided into two groups, one of whom had had an open surgery (44 patients) and the others a clean surgery. There were 37 patients with infection from open surgery and 14 with infection from clean surgery. If you did not have a nosocomial infection, what is the probability that you had clean surgery? What is the probability that a patient will have clean surgery? What is the probability that a patient will have open surgery? What is the probability of clean surgery or nosocomial infection? What is the probability of no nosocomial infection or clean surgery? If you had clean surgery, what is the probability of a nosocomial infection? If you had clean surgery, what is the probability of no nosocomial infection? If you had…“A researcher wants to examine the effects of siblings on the amount of annual salary people earned when they are 35 years old. Salary data of three groups of 35-year olds were collected and are presented here. 4 participants with no sibling while growing up (n1 = 4): 50K, 51K, 49K, 50K. 5 participants with 1 to 2 siblings while growing up (n2 = 5): 55K, 56K, 54K, 58K, 52K. 4 participants with 3 and more siblings while growing up (n3 = 4): 60K, 60K, 70K, 50K. The researcher calculated: ∑x2 = 39747, G2/N = 39325, ∑T2/n = 39525.” Do the data indicate significant differences among the three groups of 35-year olds? Test at the alpha = .05 level. a. No, the calculated F value was not larger than the critical F value; results were not statistically significant and fail to reject the null hypothesis. b. Yes, the calculated F value was not larger than the critical F value; results were not statistically significant and fail to reject the null hypothesis. c. Yes,…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?
- A Chicago-based firm has documents that must be quickly distributed to district offices throughout the U.S. The firm must de- cide between two delivery services, UPX (United Parcel Express) and INTEX (International Express), to transport its documents. In testing the delivery times of the two services, the firm sent two reports to a random sample of its district offices with one report carried by UPX and the other report carried by INTEX. Do the data on the next slide indicate a difference in mean delivery times for the two services? Use a .05 level of significance. [Hint: Perform a hypothesis test for difference for matched/paired samples, D = X1 − X2] (d) Find the critical values. (e) Rejection region and conclusion. (f) Interpret the results.Health researchers wish to compare the efficacy of the Moderna vs. Pfizer Vaccine. Here are 4 possible reasons that it would not make sense to run a matched pair experiment for such a study. Pick the TWO that are correct. 1: You would not be able to find twins willing to be part of such an experiment 2: You could not get two large independent samples for the purposes of comparison. 3: It would be hard to match two people for this test, since researchers do not yet understand what individual factors contribute to the variation of immunity to this disease. 4: It would make no sense to test both vaccines on one person and compare the outcomes. The two that are correct are: Oa. 1 and 4 The two that are correct are: 1 and 3 Ob. The two that are correct are: O c. 1 and 4 The two that are correct are: O d. 2 and 3 The two that are correct are: 3 and 4 O e.In a sample of 22 people, 11 of them (50%) prefer Product X over all other similar products. Researchers would like to know whether more than 45% of all customers prefer Product X over all other similar products. Can a theoretical approach be used to conduct this statistical analysis? Yes because the sample has at least 10 successes and 10 failures. No, because the sample does not have at least 10 successes and 10 failures. No, because there is a sample statistic and a sample size. Yes, because the sample size is more than 20.
- A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decisionThe Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, p, such that 5% of samples of 225 United States adults age 18–24 are greater than p. You may find software or a z-table useful. Give your answer precise to three decimal places. p = IIThe manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 115 of the new racecar engines and 120 of the old engines. They found that 12 of the new racecar engines and 9 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.1 for the test. Step 1 of 6 : State the null and alternative hypotheses for the test. Step 2 of 6 : Find the values of the two sample proportions, pˆ1p^1 and pˆ2p^2. Round your answers to three decimal places. Step 3 of 6 : Compute the weighted estimate of p, p‾p‾. Round your answer to three decimal places. Step 4 of 6 : Compute the value of the test…
- a) What is Fcrit for a one way ANOVA with 5 treatments and 6 replicates per treatment at α=0.05? b)What is Fcrit for a one way ANOVA with 3 treatments and 5 replicates per treatment at α=0.01?The manufacturer of a new racecar engine claims that the proportion of engine failures due to overheating for this new engine, (p1), will be no higher than the proportion of engine failures due to overheating of the old engines, (p2). To test this statement, NASCAR took a random sample of 135 of the new racecar engines and 175 of the old engines. They found that 14 of the new racecar engines and 8 of the old engines failed due to overheating during the test. Does NASCAR have enough evidence to reject the manufacturer's claim about the new racecar engine? Use a significance level of α=0.01 for the test. Step 3 of 6 : Compute the weighted estimate of p, p‾. Round your answer to three decimal places.what is the p value? is the p-value low? can we conclude?