Suppose Ho: p 1/3 and Ha: p not equal to 1/3. You reject Ho. What type of error could you have made here? Either a Type 1 error or a Type 2 error, they are equally likely. Туре 1 error You could not have made any errors with your conclusion based on your data. Type 2 error
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- 2. Consider a study where students are measured on whether they had an internship during their time at WKU (Y/N) and whether they had a job at graduation (Y/N). If we wanted to test whether having an internship was associated with having a job at graduation (i.e., internship holders were more likely to have jobs), why would the chi-square test be inappropriate for this hypothesis? How should we analyze our data?A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The σ of the population is 2.3 years. At ? = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 99 percent reliable, this means that the test will yield an accurate positive result in 99% of the cases where the disease is actually present. Gestational diabetes affects 9+1 percent of the population in our patient’s age group, and that our test has a false positive rate of 9+4 percent. Use your knowledge of Bayes’ Theorem and Conditional Probabilities to compute the following quantities based on the information given only in part 2: If 100,000 people take the blood test, how many people would you expect to test positive and actually have gestational diabetes? What is the probability of having the disease given that you test positive? If 100,000 people take the blood test, how many people would you expect to test negative despite actually having gestational diabetes? What is the…
- Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 95 percent reliable, this means that the test will yield an accurate positive result in 95% of the cases where the disease is actually present. Gestational diabetes affects 5+1 percent of the population in our patient’s age group, and that our test has a false positive rate of 5+4 percent. Use your knowledge of Bayes’ Theorem and Conditional Probabilities to compute the following quantities based on the information given only in part 2: What is the probability of having the disease given that you tested negative? Comment on what you observe in the above computations. How does the prevalence of the disease affect whether the test can be trusted?Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of the blood test and prevalence of the disease in our population. We are told that the blood test is 95 percent reliable, this means that the test will yield an accurate positive result in 95% of the cases where the disease is actually present. Gestational diabetes affects 5+1 percent of the population in our patient’s age group, and that our test has a false positive rate of 5+4 percent. Use your knowledge of Bayes’ Theorem and Conditional Probabilities to compute the following quantities based on the information given only in part 2: If 100,000 people take the blood test, how many people would you expect to test positive and actually have gestational diabetes? What is the probability of having the disease given that you test positive? If 100,000 people take the blood test, how many people would you expect to test negative despite actually having gestational diabetes? What is the…A researcher is concerned that his new antihypertensive medication may be causing insomnia in some of his patients. Suppose he gathers an SRS of 65 patients treated with the study drug with a sample average of 6.6 hours of sleep and a σ=1.1. Assuming that insomnia can be quantified as an average of 4.5 hours of sleep, can we determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?