Researchers selected 849 patients at random among those who take a certain widely-used prescription drug daily. In a clinical trial, 21 out of the 849 patients complained of flulike symptoms. Suppose that it is known that 2.2% ofpatients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.2% of this drug's users experience flulike symptoms as a side effect at the x = 0.05 level of significance?Because npo (1-Po)10, the sample size is(Round to one decimal place as needed.)What are the null and alternative hypotheses?Ho:versus H₁:(Type integers or decimals. Do not round.)Find the test statistic, Zo.Zo==(Round to two decimal places as needed.)Find the P-value.P-value= (Round to three decimal places as needed.)Interpret the results.than α,Since the P-value iscomplained of flulike symptoms.(Type integers or decimals. Do not round.)5% of the population size, and the patients in the samplethe null hypothesis. Thereselected at random, all of the requirements for testing the hypothesissufficient evidence at the α = level of significance to conclude thatsatisfied.% of the users who take the prescription drug daily

Reseachers selected 849 patients at random among those who take a certain widely used prescription…

Answered: Researchers selected 849 patients at…

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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Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
In a study of 420,088 cell phone users, 131 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted? O A. Ho: p0.00034 H1:p=0.00034 H: p0.00034 O F. Ho: p= 0.00034 H,: p#0.00034 What is the test statistic? (Round to two decimal places as needed.) What is the P-value? P-value = (Round to four decimal places…
In randomized, double-blind clinical trials of a new vaccine, children were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 125 of 746 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 82 of 627 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the a= 0.01 level of significance? Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
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.…
Teenagers who do not sleep well or long enough may have a higher risk of raised blood pressure, which could lead to cardiovascular disease later in life. The odds of raised blood pressure increase 3.5 times for those who have trouble falling asleep at night or who wake up too early and 2.5 times for those with sleeping periods of fewer than 6.5 hours. A health psychologist is interested in studying teenagers who have diastolic blood pressure scores in the top 20%. Diastolic blood pressure scores for teenagers follow a normal distribution with μ = 72 and σ = 10. Use the Distributions tool to help answer the questions that follow. The minimum z-score necessary to be in the top 20% of the diastolic blood pressure distribution is z =0.842 . Use this z-score to determine X, the corresponding diastolic blood pressure score. X = 80.42 This score, X, is the 80th percentile of diastolic blood pressure scores among teenagers. The percentile rank of this score is 80%…
Postpartum depression and anxiety (PPD), is a common medical condition affecting mothers and their families after the birth of a baby. The CDC estimated that 18% of women who have recently given birth suffer from PPD. However, this research only reflected self-reported cases. Therefore, one group dedicated to helping women and their families with PPD believes that the true percentage of women who suffer from PPD is much higher. The group conducts a simple random sample of 112 women who had given birth in the last year and discovers that 26 of them report having PPD. Based on this evidence, can the group claim that the true percentage of women who have PPD is greater than 18%? Use a 0.05 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance that the true percentage of women who have PPD is greater than 18%. 2. We fail to reject the…
In a study of 420,056 cell phone users, 100 subjects developed cancer of the brain or nervous system. Test the claim of a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different from the rate of 0.0340% for people who do not use cell phones. Because this issue has such great importance, use a 0.005 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.
Researchers selected 848 patients at random among those who take a certain widely-used prescription drug daily. In a clinical trial, 18 out of the 848 patients complained of flulike symptoms. Suppose that it is known that 1.6% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.6% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? ... 10, the sample size is Because npo (1-Po) = population size, and the patients in the sample requirements for testing the hypothesis (Round to one decimal place as needed.) satisfied. 5% of the selected at random, all of the
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…
Researchers selected 897 patients at random among those who take a certain widely-used prescription drug daily. In a clinical trial, 21 out of tNext question plained of flulike symptoms. Suppose that it is known that 1.8% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 1.8% of this drug's users experience flulike symptoms as a side effect at the a= 0.1 level of significance? satisfied. Because npo (1- Po): 5% of the population size, and the patients in the sample selected at random, all of the requirements for testing the hypothesis 10, the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P 0.018 versus H: 0.018 > (Type integers or decimals. Do not round.) Find the test statistic, zo- Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Interpret the results. Since the P-value is greater than a,…
Researchers studying the link between prenatal vitamin use and autism surveyed the mothers of a random sample of children aged 24 - 60 months with autism and surveyed another separate random sample for children with typical development. Table summarizing the number of mothers in each group who did and did not use prenatal vitamins during the three months before pregnancy (data from Schmidt, 2011) Autism Typical Development Total No vitamin 111 70 181 Vitamin 143 159 302 Total 254 229 483 Complete the hypothesis test for independence between the two variables, use of prenatal vitamins during the three months before pregnancy and autism in Rguroo. What is the value of the test statistic for this test? (Use the Large Sample Z method and please round to two decimal places)
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