Patient 0 was told he was not exposed to a virus based on his swab test, but he was in fact positive. This is an example of O Type 1 Error: A false positive O Type 2 Error: A false positive Type 1 Error: A false negative O Type 2 Error: A false negative b
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- Before the semester began, Professor Keithley predicted that 15% of hisphilosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%an F. At the end of the semester, 14 of Professor Keithley’s philosophy studentsearned an A, 19 a B, 12 a C, 5 a D, and 2 an F.Use the Chi-Square test and a 0.05 level of significance to determine if ProfessorKeithley’s predicted percentages were accurate. (State your null and alternativehypothesis, find the critical values and test statistics, make a decision, and writea conclusion based on your results).People who have COVID-19 test positive for the virus. A University student who does not have COVID-19, but is merely exhausted from studying for midterms and nursing a cold takes the diagnostic test, and the test result is positive. What type of error is this false positive – is it a Type I or Type II error?To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment A B C The null hypothesis for this ANOVA problem is Select one: OA. H1 H2 OB. H1 H2 H3 OC. H1 H2 H3 H4 OD. H1 H2= =12 Observation 22 20 30 22 26 40 30 222 25 33 20 28 28 22
- You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column variable and 5 categories in the row variable. You collect data from 518 subjects.What are the degrees of freedom for the χ2 distribution for this test?d.f. =1. Peripheral catheters retained in a blood vessel are a common cause of peripheral vascular catheter-related bloodstream infections (PVC-BSIs) (Sato et al. 2017). Patients with PVC-BSIs appear to also have other infections such as Staphylococcus aureus (S. aureus). Researchers want to know if having an S. aureus infection is associated with dying from a PVC-BSI. In a recent trial, 187 patients were studied. 76 patients that had an S. aureus infection also died of a PVC-BSI. 35 patients died of a PVC-BSI but did not have an S. aureus infection. 22 patients had an S. Aureus infection but did not die of a PVC-BSI. Finally, 54 patients did not have an S. aureus infection and did not die of a PVC-BSI. Test the claim that PVC-BSI mortality is dependent upon having an S. aureus infection. Use a 0.05 significance level. a. 0.31 b. 0.45 c. 3.94 d. 2.14 e. 4.54A manufacturer produces boxes of candy, each containing 10 pieces. Two machines are used for this purpose. After a large batch has been produced, it is discovered that one of the machines, which produces 40% of the total output, has a fault that has led to the introduction of an impurity into 10% of the pieces of candy it makes. The other machine produced no defective pieces. From a single box of candy, one piece is selected at random and tested. If that piece contains no impurity, what is the probability that the faulty machine produced the box from which it came?
- What is the significance OF REPLICATION?A neurosurgeon believes that lesions in a particular area of the brain, called the thalamus, will decrease pain perception. If so, this could be important in the treatment of terminal illness that is accompanied by intense pain. As a first attempt to test this hypothesis, he conducts an experiment in which 16 rats are randomly divided into two groups of eight each. Animals in the experimental group receive a small lesion in the part of the thalamus thought to be involved with pain perception. Animals in the control group receive a comparable lesion in a brain area believed to be unrelated to pain. Two weeks after surgery, each animal is given a brief electrical shock to the paws. The shock is administered in an ascending series, beginning with a very low intensity level and increasing until the animal first flinches. In this manner, the pain threshold to electric shock is determined for each rat. The following data are obtained. Each score represents the current level (milli-amperes)…This is my output from SPSS [attatched] and I need to make a results section for it for this study: Single Sample: A cognitive psychologist believes that a particular drug affects short-term memory. The drug is safe, with no side effects. An experiment is conducted in which 8 randomly selected subjects are given the drug and then given a short time to memorize a list of 10 words. The subjects are then tested for retention 15 minutes after the memorization period. The number of words correctly recalled by each subject is as follows: 8,9,10,6,8,7,9,7. Over the past few years, the psychologist has collected a lot of data using this task with similar subjects and has obtained a mean of 6 words correctly recalled (the data were normally distributed). I cannot remember - what I need to do with these outputs to determine statistical significance? and where I need to read to know the effect size? Here is the example results section given by the instructor: A single sample t test was…
- People who have infectious mononucleosis (mono) test positive for the virus on a heterophile test. A man who does not have mono but is merely tired and nursing a cold takes the heterophile test, and the test result is positive. What type of error has been made (type 1 or type 2), and whyA random selection of volunteers at a research institute have been exposed to a typical cold virus. After they started to have cold symptoms, 10 of them were given multivitamin tablets formulated to fight cold symptoms. The remaining 10 volunteers were given placebo tablets. For each individual, the length of time taken to recover from the cold is recorded. At the end of the experiment the following data are obtained. Days to recover from a cold Treated with multivitamin 2.6, 5.9, 5.3, 5.8, 8.7, 6.2, 7.6, 6.4, 8.0, 4.0 Treated with placebo 3.0, 5.1, 4.7, 4.2, 4.7, 5.6, 5.9, 4.7, 7.1, 4.9 It is known that the population standard deviation of recovery time from a cold is 1.8 days when treated with multivitamin tablets, and the population standard deviation of recovery time from a cold is 1.5 days when treated with placebo tablets. It is also known that both populations are approximately normally distributed. The researchers claim that the mean recovery time, l, of the patients treated…randlom S Ilicit use of Psychostimulants among College stuclents surveyed cllege s.) The au+thors of paper stuclents about their use of legal and illegal stimulants. The sample of students surveyed Consisted of students enrolled in Psychology cleass at a small, competitive college in the Unitedl stutes. this aWes t sample a simple random sample, a stratified sample, asystematic sample, or a convenient sample? Explain b Give 2 reasons why the estimate of the proportion of students who reported using illegal stimulants besed on the data from this survey should not be generalized to all u.s college students