In a trial designed to test the effectiveness ofaspirin in preventing heart disease, 11,037 malephysicians were treated with aspirin and 11,034male physicians were given placebos. Among thesubjects in the aspirin treatment group, 139experienced myocardial infarctions (heart attacks).Among the subjects given placebos, 239experienced myocardial infarctions. Use a 0.05significance level to test the claim that aspirin hasno effect on myocardial infarctions.A) Test the claim using a hypothesis test.B) Test claim using appropriate confidenceinterval.

Answered: In a trial designed to test the…

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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Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 53% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 10 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.05 level of significance? Complete parts (a) through (g). (b) Verify that the normal model may not be used to estimate the P-value. npo (1 - Po) : (Round to one decimal place as needed.) Весause = 3.7 < 10, the normal model may not be used to approximate the P-value. (c) Explain why this is a binomial experiment. There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of success is fixed at 0.53 for each trial. (Type an integer or a decimal. Do not round.) (d) Determine the P-value using the binomial probability distribution.…
Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 51% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 18 students enrolled, 13 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a= 0.05 level of significance? Complete parts (a) through (g). ..... (a) State the appropriate null and alternative hypotheses. 0.51 versus H: p Но (Type integers or decimals. Do not round.) > 0.51 %D (b) Verify that the normal model may not be used to estimate the P-value. Because npo (1- Po) = 4.5 > 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.) (c) Explain why this is a binomial experiment. There is a fixed number of trials with two mutually exclusive outcomes. The trials are independent and the probability of success is fixed at…
In the past 10 years, the prevalence of peanut allergies has doubled in Western countries. Is consumption or avoidance of peanuts in infants related to the development of peanut allergies in infants at risk? Subjects included infants between four and 11 months with severe eczema, egg allergy, or both but who did not display a preexisting sensitivity to peanuts based on a skin-prick test. The infants were randomly assigned to either a treatment that avoided consuming peanut protein or a treatment in which at least 6 grams of peanut protein were consumed per week. The response was the presence or absence of peanut allergy at 60 months of age. In the avoidance group containing 263 infants, 36 had developed a peanut allergy at 60 months of age, while in the consumption group containing 266 infants, five had developed a peanut allergy. George Du Toit et al., "Randomized trial of peanut consumption in infants at risk for peanut allergy," New England Journal of Medicine, 372 (2015), pp.…
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Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 54% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.01 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: (Type integers or decimals. Do not round.) versus H,:
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Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). Is there sufficient evidence to support the research that the experimental course is effective? A. No, reject the null hypothesis because the P-value is less than a. There is insufficient evidence to conclude that the experimental course is effective. B. Yes, reject the null hypothesis because the P-value is less than a. There is sufficient evidence to conclude that the experimental course is effective. CC. No, do not reject the null hypothesis because the P-value is greater than a. There is insufficient evidence to conclude that…
The fecal occult blood test, widely used both in physicians’ offices and at home to screen patients for colon and rectal cancer, examines a patient’s stool sample for blood, a condition indicating that cancer may be present. A recent study funded by the National Cancer Institute found that of 15,000 people tested on an annual basis, 10% were found to have blood in their stools. These 10% underwent further testing, including colonoscopy, the insertion of an optical-fiber tube through the rectum in order to inspect the colon and rectum visually for direct indications of cancer. Only 2.5% of those having colonoscopy actually had cancer. Additional information in the study suggests that, of the patients who were tested, approximately 5 out of 1,000 tested negative (no blood in the stool) but eventually did develop cancer. Create a probability table that shows the relationship between blood in a stool sample and colorectal cancer. Calculate P(Cancer|Blood) and P(Cancer|No Blood). The study…

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In a trial designed to test the effectiveness of aspirin in preventing heart disease, 11,037 mal physicians were treated with aspirin and 11,03- male physicians were given placebos. Among t subjects in the aspirin treatment group, 139 exnerienced myOcardial infarctions (heart atta