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- Pose a null and alternate hypothesis for a two sample t-test using variables: Male and Female, Asthma, number of injuries, or flu shot. Can any of the variables also be used to do a Chi square test or a NOVA test?Oropharyngeal cancer is a disease in which malignant (cancer) cells form in the tissues of the oropharynx. The gold standard to diagnose this disease is through RNA qPCR. In 2011, Schache et al. determined the accuracy of Human Papilloma Virus p16 immunohistochemistry (p16 IHC) in detection of oropharyngeal carcinoma. Results from 200 patients are shown in the table below: see photo Compute for the sensitivity of p16 IHC in diagnosis of oropharyngeal carcinoma. Source: Schache, A. G., Liloglou, T., Risk, J. M., Filia, A., Jones, T. M., Sheard, J., ... & Sloan, P. (2011). Evaluation of human papilloma virus diagnostic testing in oropharyngeal squamous cell carcinoma: sensitivity, specificity, and prognostic discrimination. Clinical Cancer Research, 17(19), 6262-6271. 82.0% 83.9% 93.2% 94.0%The calculator at this link will allow you to perform a one-way chi-square or “goodness of fit test”:http://vassarstats.net/csfit.htmlLinks to an external site.Fifty students can choose between four different professors to take Introductory Statistics. The number choosing each professor is shown below. Use the calculator above to test the null hypothesis that there is no preference for professors -- that there is an equal chance of choosing each of them. Report your results including chi-square, degrees of freedom, p-value and your interpretation. Use an alpha level of .05. Be careful not to over interpret – state only what the test result tells you. Professor N Dr. Able 20 Dr. Baker 8 Dr. Chavez 14 Dr. Davis 8
- The weld strength of the welds in the cooling system is required to be greater than 175 psi. Naval engineers will measure weld strengths of randomly-selected welds made exactly like those used in the cooling system. They will use their measurements to test the hypothesis H0:μ⩽175 against H1:μ > 175. If they reject their null hypothesis, what should they conclude? Multiple choice options (pick 1): 1. The true mean strength is not less than 175 psi. 2. The true mean strength is not greater than 175 psi. 3. The true mean strength is greater than 175 psi. 4. The true mean strength is less than 175 psi."A student committe has 6 members - 4 undergraduate and 2 graduate students. A subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. What is the probability that there will be no graduate students on the subcommittee?" (question 3.31 of Statistics for Business and Economics 8th edition) I tried using the hypergeometric distribution method to solve this but it's not correct. Why can't I use this method?The probability is 0.35 that a calibration of a transducer in an electronic instrument does not conform to specifications for the measurement system. Assume the calibration attempts are independent. What is the probability that at most six calibration attempts are required to meet the specifications for the measurement system?
- (i) State the hypotheses and determine if the hypothesis test is one tailed or two tailed. (ii) Find the P-value. Round your answer to at least four decimal places. (iii) Make the decision and summarize the results.Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter λ=3.1i. Find the probability that 3 or more accidents occur today ii. Find the probability that no accident occur todayA survey claims that 9 out of 10 doctors (i.e., 90%) recommend Kiva for their patients who have children. To testthis claim at ? = 0.05, against the alternative that the actual proportion of doctors who recommend Kiva is lessthan 90%, a random sample of 100 doctors results in 83 who indicate that they recommend Kiva. Based on thedata is it the case that 90% of doctors recommend drugs to parents so thay can deal with their children? A) State the hypothesis: B) Criitical valueC) Test stat istic and decision aboiut HoD) The conclusion about the problem statement.
- Rhianna hears that watching ASMR videos on YouTube can help with insomnia. She conducts a sleep study on 60 people who have difficulty sleeping by asking a simple random sample of 30 participants to watch at least 20 minutes of ASMR videos prior to sleeping and the remaining 30 participants to attempt to sleep without watching any videos. During the study, the subjects are connected to an EEG machine, which is used to measure brain activity. Rhianna analyzes the EEG results and concludes that those who watched the ASMR videos experienced a better quality of sleep than those who did not. i. Identify the treatments in Rhianna’s study. For i., the treatments are what the participants do that will impact their sleep. A. being connected to an EEG machine B. experiencing difficulty sleeping C. watching at least 20 minutes of ASMR videos D. watching at least 20 minutes of non-ASMR videos E. watching no videos prior to sleep F. all of the above G. Options A & B H.…Identify if something is wrong with the indicated test, based on the following paragraph. Indicate clearly what is wrong with any part fo the proposed test and why. There may be more than one thing wrong. A manufacturer of capacitors used in electric devices plans to test its group of 10 assembly lines to see if they are more likely to generate defective items than is typical. A national report had indicated that capacitors similar to those similar to those made by the manufacturer, on average, 2 defective capacitors occur every 5 days. The plan is to perform a hypothesis test using the manufacturer's assembly line as the sample, and the national report for the population information. The company plans to use a two tail t-test for a single porportion.A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on a spin is calculated and given in the table. Section 1 2 3 4 5 Probability 0.40 0.20 0.20 0.15 0.05 A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test? A. 5 B. 25 C. 50 D. 100 E. 500
