In randomized, double-blind clinical trials of a new vaccine, toddlers were randomly divided into two groups. Subjects in group 1received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 121 of 379 subjects in theexperimental group (group 1) experienced nausea as a side effect. After the second dose, 150 of 595 of the subjects in thecontrol group (group 2) experienced nausea as a side effect. Does the evidence suggest that a higher proportion of subjects ingroup 1 experienced nausea as a side effect than subjects in group 2 at the α = 0.10 level of significance? In randomized, double-blind clinical trials of a new vaccine, toddlers were randomly divided into two groups. Subjects in group 1received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 121 of 379 subjects in theexperimental group (group 1) experienced nausea as a side effect. After the second dose, 150 of 595 of the subjects in thecontrol group (group 2) experienced nausea as a side effect. Does the evidence suggest that a higher proportion of subjects ingroup 1 experienced nausea as a side effect than subjects in group 2 at the α = 0.10 level of significance?

The question is about hypo. testing for difference between two popl. prop. Given : Total no. of…

Answered: In randomized, double-blind clinical…

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 studying the effect of antibiotic treatment for acute sinusitis compared to symptomatic treatments randomly assigned 166 adults diagnosed with acute sinusitis to one of two groups: treatment or control. Study participants received either a 10-day course of amoxicillin (an antibiotic) or a placebo similar in appearance and taste. The placebo consisted of symptoatic treatments such as acetaminophen, nasal decongestants, etc. At the end of the 10-day period, patients were asked if they experienced improvement in symptoms. The distribution of responses is summized below. We want to test if there is a difference in the improvement rates of sinusitis symptoms between the treatment and the placebo.(a) Formulate the null and alternative hypotheses(b) Calculate the test statistic and find the P-value(c) Please check the conditions required to do the test above.
According to a study on the effects of smoking by pregnant women on rates of asthma in their children, for expectant mothers who smoke 20 cigarettes per day, 22.2% of their children developed asthma by the age of two in the US. A biology professor at a university would like to test if the percentage is different in another country. She randomly selects 319 women who only deliver one child and smoke 20 cigarettes per day during pregnancy in that country and finds that 82 of the children developed asthma by the age of two. In this hypothesis test, Do the hypothesis test. Use a level of significance of a = 0.05; Use the unrounded values in Excel to find the answers for #3 and #4 1. This is an example of 2. Find the standard error. 3. Find the z value. Question 10 V a hypothesis test.
A pharmaceutical company proposed a vaccine that would combat paralytic polio. Two independent random samples were collected from the population. One random sample of 201,229 was given the placebo, and among them 100,910 contracted paralytic polio. The other random sample of 200,745 was given the vaccine, and among them 50,033 people ended up contracting paralytic polio. Let the true proportion of cases of paralytic polio given placebo be p1p1 and the true proportion of cases of paralytic polio given vaccine be p2. Calculate the upper bound of a 95% confidence interval for p1−p2. Round your answer to three decimal places.
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?
A large clinical trial of the effect of diet on breast cancer assigned women at random to either a normal diet or a low-fat diet. To check that the random assignment did produce comparable groups, we can compare the two groups at the start of the study. Asked if there is a family history of breast cancer: 1276 of the 5964 women in the low-fat group and 1507 of the 7726 women in the control group said "Yes." If the random assignment worked well, there should not be a significant difference in the proportions with a family history of breast cancer. How significant is the observed difference? State: Is there evidence of a difference in the proportion of women with a family history of breast cancer between the treatment and control groups? Plan: Let pi be the proportion for the treatment group, and Pz the proportion for the control group. State the hypotheses for your test. Ha:Pi + P2 Solve: Give the value of the test statistic. Use the calculator. Select an answer ♥ Ho:pi = p2 What is the…
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.)
A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia. Following the old treatment protocol, 28% of patients with MDS will develop leukemia within 5 years of MDS diagnosis. He believes his new treatment protocol will lead to fewer MDS patients developing leukemia. He takes a random sample of 100 individuals on his new treatment protocol. Of these 100 individuals, 20 develop leukemia within 5 years of MDS diagnosis. In questions 8-9, create a 98% confidence interval for the true proportion of all MDS patients on this new treatment who will develop leukemia within 5 years of MDS diagnosis. What is the confidence interval? Do not round your answer. What is the interpretation of your confidence interval?
In a clinical trial of Nasonex, 300 allergy patients were randomized into two groups, with Group 1 receiving the Nasonex drug (200 mg) and Group 2 receiving a placebo. The experimenter used a 2:1 randomization plan so that more subjects would be assigned to the Nasonex group. One outcome of interest is the incidence rate of headache as a side-effect. Of the 200 patients randomized to the Nasonex group, 52 (or 26%) reported experiencing a headache; and of the 100 patients randomized to the placebo group, only 22 (22%) reported a headache. 1. The makers of Nasonex are concerned that their allergy medication might increase the incidence of headaches. So they would like to assess the claim that the incidence rate of headaches is higher for Nasonex users as compared to placebo. So the null hypothesis is given by H0: p1 - p2 = 0. Select the appropriate alternative hypothesis. Ha: p1 - p2 ≠ 0 Ha: p1 - p2 > 0 Ha: p1 - p2 < 0 2. It seems that the sample sizes of 200…
ester Hollar is vice president for human resources for a large manufacturing company. In recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. To evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the six months following the exercise program. Below are the results. Employee Before After 1 6 5 2 6 2 3 7 1 4 7 3 5 4 3 6 3 6 7 5 3 8 6 7 At the 0.05 significance level, can he conclude that the number of absences has declined? Estimate the p-value. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.) Compute the test statistic. (Round your answer to 3 decimal places.)
The Salk vaccine against polio was tested in 1954 in a carefully designed field experiment. Approximately, 400,000 children took part in this experiment. Using a randomization procedure, the children were randomly divided into 2 groups of equal size, a treatment group, and a control group. The vaccine was given only to the children in the treatment group; the control group children received placebo injections. The children did not know which of the two groups they had been placed into. The diagnosticians also lacked this information. 57 children in the treatment group went on to contract polio, while 142 children in the control group contracted the illness. How likely would such a difference in outcomes be when the assignment to the treatment or control group had absolutely no effect on the outcomes?
Most alpine skiers and snowboarders do not use helmets. Do helmetsreduce the risk of head injuries? A study in Norway compared skiers and snowboarders who suffered head injuries with a control group who were not injured. Of 578 injured subjects, 96 had worn a helmet. Of the 2992 in the control group, 656 wore helmets. Is helmet use less common among skiers and snowboarders who have head injuries?
In randomized, double-blind clinical trials of a new vaccine, monkeys 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, 117 of 750 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 74 of 631 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the a = 0.05 level of significance? Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) Interpret the P-value. If the population proportions are one would expect a sample difference proportion the one observed in about out of 1000 repetitions of this experiment. (Round to the nearest integer as needed.) State the conclusion for this hypothesis test. A. Reject Ho.…

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