If a doctor observes a positive test, what is the probability that a patient has the cancer??
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A: Here AS PER POLICY I HAVE CALCULATED 3 SUBPART
4. Suppose 1% of the people in California have a certain type of cancer. The state is
considering testing everyone in the state for the cancer. A person with the cancer
has a 95% chance of testing positive. A person without the cancer has a 10%
chance of testing positive. If a doctor observes a positive test, what is the
probability that a patient has the cancer??
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- In hypothesis testing, when should we use alpha and beta?36% of canadians are single and 20 % are corona infected whereas 12 % are single and corona infected. Given that a selected individual is married, the probabilty that he/ she is corona infected 0.750 0.125 0.250 0.8752. The probability that a person has a negative side effect from a medication is .08.Suppose you treat 12 people. Assume they are independent.a. What is the probability that exactly 2 of them have a negative side effect?
- Which of the following statements about Type 1 and Type 2 error is false? They are both a form of chance error. They are both represented using Greek letters. They are both a form of systematic error. Ideally you should try to keep both as low as possible in your study.13.Imagine a population of balls in which all are red except for three green ones. If we randomly sample two balls, without replacement, and the probability of getting green both times is p=0.025, which of the following is the number of red balls in the population?4. If a randomly chosen athlete tests negative, what’s the probability that the student took a banned substance? Explain why it makes sense for the drug-testing process to be designed so that this probability is less than the one you found in Question 3.5. The district decides to immediately retest any athlete who tests positive. Assume that the results of an athlete’s two tests are independent. Find the probability that a student who gets a positive result on both tests actually took a banned substance. Based on your answer, do you think that an athlete who tests positive twice should be suspended from athletic competition for a year? Why or why not?
- . A producer of high quality teas wants to be sure they are filling tea bags with an average weight of 5.5 grams. Any underfilling or overfilling is undesirable. The correct set of hypotheses is10) According to the American Academy of Ophthalmology, there is a 45% chance that someone will have brown eyes. What is the probability that all of the next seven people selected will have brown eyes?2. A political scientist developed a test designed to measure the degree of awareness of current events. She wants to estimate the average score that would be achieved on this test by all students in a certain high school. The administration at the school will not allow the experimenter to randomly select students out of classes in session, but it will allow her to interrupt a small number of classes for the purpose of giving the test to every member of the class. Thus, the experimenter selects 25 classes at random from the 108 classes in session at a particular hour. The test is given to each member of the sampled classes, with results as shown in the accompanying table. Number of students, mi Total score, yi Class 1 31 1590 2 29 1510 3 25 1490 4 35 1610 5 15 800 6 31 1720
- 10. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be? a. Ho: b. HaSuppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
