The Ministry of Health Malaysia is interested in the post-shot side effects of a particularCovid-19 vaccine on teenagers. The manufacturer of a particular vaccine claims that 50%of the second dose recipients would develop mild side effects than others. The Covid-19working group performed a hypothesis test to determine if the claimed percentage by thevaccine manufacturer is trustworthy. They sampled 100 teenage vaccine recipients andfound that 53 of the recipients had mild side effects after their second dose of Covid-19vaccine administration. A 5% level of significance was chosen for the hypothesis test.i.State the null and alternative hypothesis.ii.State the Type I and Type II errors.iii.Is Type I error or Type II error more important to the ministry of health? Why?

One sample proportion test : The single proportion (or one-sample) binomial test compares a…

Answered: The Ministry of Health Malaysia is…

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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A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who receive the experimental medication, 38 report a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. When you test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. Use α = 0.05. What should the researcher’s conclusion be for a 5% significance level? Reject H0because 2.64 ≥ 1.960. We have statistically significant evidence at α = 0.05 to show that there is a difference in the proportions of patients reporting a reduction in symptoms. We reject H0 at the 5% level because 2.64 is greater than 1.96. We do have statistically…
A case-control study is planned to investigate whether bottle-fed infants are at increased risk of death from acute respiratory infections compared breast-fed infants. The mothers of a group of cases (infants' deaths, with an underlying respiratory cause named on the death certificate) will be interviewed about the breast-feeding status of the child prior to the illness leading to death. The results will be compared to with those obtained from mothers of a group of healthy controls regarding the current breast-feeding status of their infants. It is expected that about 40% of controls will be bottle-fed, and we would like to detect a difference if bottle-feeding was associated with a two-fold increase of death (OR-2). A. How many cases and controls need to be studied to give a 90% power of achieving 5% significance level. Copy and paste/print the answer from the software. B. Repeat part (A) if the OR was three-fold increase. What do you notice about the sample size needed? Explain
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Trichotillomania is a psychiatric illness that causes its victims to have an irresistible compulsion to pull their own hair. Two drugs were compared as treatments for trichotillomania in a study involving 13 women. Each women took clomipramine during one time period and desipramine during another time period in a double-blind experiment. Scores on a trichotillomania-impairment scale, in which high scores indicate greater impairment, were measured on each women during time period. The average of the 13 measurements for clomipramine was 6.2; the average of the 13 measurements for desipramine as 4.2. (a) A paired t test was used to test whether the mean difference between these two drugs is 0, resulting in a test statistics t∗ = 2.47. Find the sample standard deviation Sd. (b) Find a 95% confidence interval for the mean difference between the two drugs and give the conclusion.
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A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who receive the experimental medication, 38 report a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. When you test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. Use α = 0.05. What should the researcher’s conclusion be for a 5% significance level? Reject H0because 2.64 ≥ 1.960. We have statistically significant evidence at α = 0.05 to show that there is a difference in the proportions of patients reporting a reduction in symptoms. We reject H0 at the 5% level because 2.64 is greater than 1.96. We do have statistically…
Answer the following:
A clinical trial is conducted to compare an experimental medication to placebo to reduce the symptoms of asthma. Two hundred participants are enrolled in the study and randomized to receive either the experimental medication or placebo. The primary outcome is self-reported reduction of symptoms. Among 100 participants who receive the experimental medication, 38 report a reduction of symptoms as compared to 21 participants of 100 assigned to placebo. When you test if there is a significant difference in the proportions of participants reporting a reduction of symptoms between the experimental and placebo groups. Use α = 0.05. What should the researcher’s conclusion be for a 5% significance level? Reject H0because 2.64 ≥ 1.960. We have statistically significant evidence at α = 0.05 to show that there is a difference in the proportions of patients reporting a reduction in symptoms. We reject H0 at the 5% level because 2.64 is greater than 1.96. We do have statistically…
A study in a journal published by the American Academy of Pediatrics (as reported in the Miami Herald, Jan. 14, 1997) seems to suggest that preschoolers who drink more than 12 ounces of fruit juice a day tend to be heavier and shorter than preschoolers who do not. The study involved a random sample of 168 healthy youngsters of whom 59 drank on average more than 12 ounces of fruit juice per day. Each child was weighed and measured. The measurements were then converted to percentage of normal height and weight for a child of that age and gender. For example, a weight percentage of 1.1 indicates that the child is 10% heavier than average. A recorded 0.80 indicates the child is 20% below the average. An average weight is recorded as 1.0. Same with height. Column 1: Juice 1- indicates child DID drink > 12 oz 2- child DID NOT drink > 12 oz Column 2: Weight% weight converted to percent of…

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