1.2 Sinusitis and antibiotics, Part I. Researchers studying the effect of antibiotic treatment for acutesinusitis compared to symptomatic treatments randomly assigned 166 adults diagnosed with acute sinusitis toone of two groups: treatment or control. Study participants received either a 10-day course of amoxicillin (anantibiotic) or a placebo similar in appearance and taste. The placebo consisted of symptomatic treatmentssuch as acetaminophen, nasal decongestants, etc. At the end of the 10-day period, patients were asked ifthey experienced improvement in symptoms. The distribution of responses is summarized below.Self-reported improvementin symptomsYesNoTotalTreatment661985GroupControl651681Total13135166 6. Refer to Exercise 1.2 on p.11. We want to test if there is a difference in the improvement rates of sinusitissymptoms between the treatment and the placebo.Formulate the null and alternative hypothesesCalculate the test statisticFind the P-valuePlease check the conditions required to do the test above.

Here we have to test the hypothesis for two independent proportions. The z- statistics can be…

Answered: 1.2 Sinusitis and antibiotics, Part I.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition. Use a two-factor ANOVA with α = .05 to evaluate the main effects and the interaction. Include a source table for your ANOVA.
A pharmaceutical company is testing a new drug for a rare disease. In a clinical trial, 1000 patients with the disease were randomly assigned to receive either the new drug or a placebo. After one year, it was found that 60% of the patients who received the new drug experienced improvement, compared to only 40% of those who received the placebo. Is the difference in improvement rates statistically significant? Provide your rationale.
Part A. Depression affects many people. 25 out of 100 people with untreated depression will lose at least one friendship while not receiving treatment. On the other hand, when people with depression are treated with medication and counseling, only 2 out of 100 will lose at least one friendship during treatment. The absolute risk of losing at least one friendship while being treated with medication and counseling is Answer: 2 / 100 = 0.02 = 2%
In Exercises, we present descriptions of designed experiments. In each case, identify the a.experimental units.b.response variable.c.factor(s).d.levels of each factor.e.treatments. Dexamethasone and IQ. In the paper “Outcomes at School Age After Postnatal Dexamethasone Therapy for Lung Disease of Prematurity” (New England Journal of Medicine, Vol. 350, No. 13, pp. 1304–1313), T. Yeh et al. studied the outcomes at school age in children who had participated in a double-blind, placebo-controlled trial of early postnatal dexamethasonetherapy for the prevention of chronic lung disease of prematurity. One result reported in the study was that, at school age, the control group of 74 children had an average IQ score of 84.4, whereas the dexamethasone group of 72 children had an average IQ score of 78.
Vitamin E and the Risk of Prostate Cancer: Klien et al (2011) conducted the following study to determine the effect of vitamin E and selenium treatment on the risk of developing prostate cancer in healthy men. A total of 34,887 men from different study sites in the United States, Canada, and Puerto Rico were randomly selected. To be eligible to participate, the men had to take a rectal examination that showed he was not suspicious of having prostate cancer and be aged 50 years or older for black men and 55 years or older for all others. Each man was randomly assigned to receive one of four treatments: selenium, vitamin E, selenium and vitamin E together, or a placebo. The men were followed up after 8 years to see if they had developed prostate cancer or not. The main question of interest is to determine if the risk of developing prostate cancer differs by the treatment taken. The data are summarized in the table below: No Prostate Cancer Prostate Cancer Total Selenium 8,752 8,737 8,702…
The data below are from an independent-measures experiment comparing three different treatment conditions. Use an ANOVA with a = .05 to determine whether these data indicate any significant differences among the treatments Treatment 1 Treatment 2 Treatment 3 0 1 4 N = 12 0 4 3 G = 24 0 1 6 åX2 = 92 2 0 3 M = 0.5 T = 2 M = 1.5 T = 6 M = 4 T = 16 SS = 3 SS = 9 SS = 6
. 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%. The researcher’s hypothesis, for a level of significance of 5%, should resemble which of the following sets of hypothesis? A) H0: p > .041; H1: p = .041; alpha= .05 B) H0: p > .041; H1: p = .041; alpha= .95 C) H0: p = .041; H1: p > .041; alpha= .05 D) H0: p = .041; H1: p…
An investigation is performed to evaluate two new experimental treatments for allergies. 18 subjects who suffer from allergies are enrolled in the study and randomly assigned to one of three treatments: Control Group, Experimental Treatment 1, or Experimental Treatment 2. Each subject is instructed to take the assigned treatment, and symptoms of allergies are recorded on a scale of 1 to 20, with higher scores indicating worse symptoms. The data is summarized in the table below: SBP Std. Deviation Group Mean Control Treatment 6. 16.17 2.483 Experimental Treatment 1 6. 11.33 1.966 Experimental Treatment 6. 3.83 1.472 Total 18 10.44 5.554 Use this data to complete an ANOVA table to test for a significant difference in the means of each of the groups. Round all answers to the third decimal point.
A group of 600 patients who suffer from seasonal allergies is asked to participate in a study to determine the effectiveness of a new medication. The patients are divided randomly into two groups, one was given the actual medication and one received a placebo pill. After 2 months of treatment, 64% of the patients who took the medication had fewer allergy symptoms, while only 36% of those who took the placebo had fewer allergy symptoms. a. What is the treatment variable? b. What is the response (or outcome) variable? c. Was this an observational study or a controlled experiment? Explain how you know. d. Assuming the rest of the study was well-designed, use your answers to discuss whether it would be reasonable to conclude that taking the new medication caused fewer allergy symptoms.
In a certain study, the effect on oat yield was compared for the Pallinup, Overberg and Magnifico varieties of oats and four different concentrations of manure (0, 0.2, 0.4 and 0.6 tonnes per acre). Identify the experimental units, response variable, factor(s), levels of each factor and treatments.
State the hypotheses for each of the three separate tests included in the two-factor ANOVA.
What test should I use for this problem?

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