4. Two hundred patients suffering from depression enrolled in a clinical trial to testthe effects of various antidepressants. Zoloft was given to 27% of patients,Lexapro was given to 30%, and Prozac was given to 27%. Thirteen percent weretreated with at least Zoloft and Lexapro, 11.5% were given at least Lexapro andProzac, 7% were given at least Zoloft and Prozac, and 4% were treated with allthree drugs.(a) How many patients in the trial were given at most two of the three drugs?(b) How many patients were treated with Zoloft and Prozac but not Lexapro?(c) How many patients were given a placebo containing none of the three drugs?

Answered: 4. Two hundred patients suffering from…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 4.1%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians’ offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.8%. For a level of significance of 5%, what should the researcher’s decision rule look like? Reject H0 if z is less than or equal to -1.96. Reject H0 if z is greater than or equal to 1.96. Reject H0 if z is less than or equal to -1.645. Reject H0 if z is greater than or equal to…
5. Dementia is a common mental health problem affecting those over 65. It is believed that of those that have dementia, 31% worsen in mental cognition. Acetyl-l-carnitine (ALC) is a drug that is used to determine if it will be beneficial with those with dementia. In a clinical trial, 98 patients are given the drug and their cognition is observed. Of the 98 patients, only 28 worsened. Construct a test to determine whether ALC decreased the proportion of patients who worsen from dementia. a) State the null and alternative hypotheses. b) Find the test statistic. Round to two decimal places. c) Find the p-value. Round to four decimal places. d) What is your decision at a 1% significance?
Twenty middle-aged men with glucose readings between 90 milligrams per deciliter and 120 milligrams per deciliter of blood were selected randomly from the population of similar male patients at a large local hospital. Ten of the 20 men were assigned randomly to group A and received a placebo. The other 10 men were assigned to group B and received a new glucose drug. After two months, posttreatment glucose readings were taken for all 20 men and were compared with pretreatment readings. The reduction in glucose level (Pretreatment reading − Posttreatment reading) for each man in the study is shown here. Group A (placebo) reduction (in milligrams per deciliter): 12, 8, 17, 7, 20, 2, 5, 9, 12, 6 Group B (glucose drug) reduction (in milligrams per deciliter): 29, 31, 13, 19, 21, 5, 24, 12, 8, 21 Part A: Do the data provide convincing evidence, at the α = 0.02 level, that the glucose drug is effective in producing a reduction in mean glucose level? Part B: Create and interpret a 98%…
A researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 3.9%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians’ offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.1%. The researcher’s hypothesis, for a level of significance of 5%, should resemble which of the following sets of hypothesis? A) H0: p > .039; H1: p = .039; alpha= .05 B) H0: p = .039; H1: p > .039; alpha= .05 C) H0: p > .039; H1: p = .039; alpha= .95 D) H0: p = .039; H1: p…
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
researcher suspects that the actual prevalence of generalized anxiety among children and adolescents is higher than the previously reported prevalence of generalized anxiety disorder among children and adolescents. The previously reported prevalence of generalized anxiety disorder among children and adolescents is 3.9%, and the researcher conducts a study to test the accuracy of the previously reported prevalence of generalized anxiety disorder by recruiting 98 children and adolescents from various pediatricians' offices and tests them for generalized anxiety disorder using the DSM-5. The researcher determines that the prevalence of generalized anxiety disorder among the participants of the study is 6.1%. What should the researcher's conclusion be for a 5% significance level? A. We reject H0 at the 5% level because -57.53 is less than -1.96. We do have statistically significant evidence to show the actual prevalence of generalized anxiety disorder among children and adolescents…
An experiment to evaluate the effectiveness of the type of snack and children's perception of satiation was designed so that subjects aged 10 to 13 years were randomly assigned a snack that was of the exact same ingredients but described differently. The first group had their snack described as healthy and full of vitamins, the second group had their snack described as tasty, the third group were given a snack without any description whatsoever. Thirty minutes after finishing the snack, subjects were asked to rate their hunger on a scale of 1 to 10. The results are summarized in the table: ANOVA: Single Factor SUMMARY Groups Healthy Tasty No Description ANOVA Source of Variation Between Groups Within Groups Total Count 12 13. 14 SS 17.46154 62.89744 80.35897 Sum 62 46 56 Average 5.1667 3.5385 4.0000 Variance 1.9697 1.9359 1.3846 df MS F P-value 2 8.730769 4.997146 0.012156 36 1.747151 38 Based on these results, at a 5% level of significance what conclusion can the researchers draw from…
More than 10% of people carry the parasite Toxoplasma gondii. The life-long presence of Toxoplasma cysts in neural and muscular tissues leads to prolongation of reaction times in infected subjects. The following table gives data from Prague on 15- to 29-year-old drivers who had been and had not been involved in accidents. The table also gives the number of drivers who were infected with Toxoplasma gondii and who were uninfected. Infected Uninfected Drivers with accidents 21 38 Drivers without accidents 38 211 Source: Flegr. J Havlicek, J., Kodym, P. Malý, M. & Smahel, Z. (2002). Increased risk of traffic accidents in subjects with latent toxoplasmosis: a retrospective case- control study. BMC infectious diseasex, 2, 11. https://doi.org/10.1186/1471-2334-2-11 Complete the sentences to form the correct statements identifying the explanatory and response variables. Select from here: infection status. The explanatory variable is place of living. accident state. The response variable is age…

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