In randomized, double-blind clinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group 1 received the new vaccinewhile subjects in group 2 received a control vaccine. After the second dose, 110 of 367 subjects in the experimental group (group 1) experienceddrowsiness as a side effect. After the second dose, 169 of 649 of the subjects in the control group (group 2) experienced drowsiness as a side effect.Does the evidence suggest thata higher proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the0.01 level of significance?P2Find the test statistic for this hypothesis test.(Round to two decimal places as needed.)Enter your answer in the answer box and then click Check AnswerpartsremainingCheck AnswerClear All11:54 AM11/17/2019DELLPrtScrF5F3F10InsertscF12F2F11F1F4F6F7F9F8$&+Вс145QEPHKAFVBIAltAltCtrlHomeInspiron 113000 SeriesBB1xUSB J.O PortWAudio Pro00I#mX

There are 110 of 367 subjects in the experimental group1 experienced drowsiness as a side effect and…

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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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.
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.)
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.)
In a study on the effect of an oral rinse on plaque buildup on teeth, sixteen people whose teeth were thoroughly cleaned and polished were randomly assigned to two groups of eight subjects each. Both groups were assigned to use oral rinses (no brushing) for a 2-week period. Group 1 used a rinse that contained an antiplaque agent. Group 2, the control group, received a similar rinse except that the rinse contained no antiplaque agent. A measure of plaque buildup was recorded at 14 days with means and standard deviations for the two groups shown in the table. Control Group Antiplaque Group Sample Size 8 8. Mean 1.22 0.77 Standard Deviation 0.33 0.33 n USE SALT (a) State the null and alternative hypotheses that should be used to test the effectiveness of the antiplaque oral rinse. O Ho: (H, - H2) = 0 versus H: (, - H2) 0 O Ho: (H1 - H2) = 0 versus H,: (H, - H2) > 0 O Ho: (H1 - H2) = 0 versus H.: (4, - H2) # 0 (b) Do the data provide sufficient evidence to indicate that the oral…
A pharmaceutical company has developed a new drug called Antisubcillin to treat substance use disorder. They have just completed an experiment assessing the safety of the drug. To test safety, 100 rats were given 20 mg of Antisubcillin and 100 rats were given a placebo. The study was conducted as a double-blind controlled study and so the researchers did not know which rats were receiving the drug and which were receiving the placebo. The number of negative side effects displayed by each rat over the course of 8 weeks was recorded. Which statistical test should be used to analyze these data? z test one-sample t test independent samples t test dependent samples t test
The Asian longhorned beetle kills trees by burrowing within the trunk and branches and disrupting the sap flow. This beetle favors hardwood trees, such as maple, elm, and ash. A new pesticide will be be tested in a major metropolitan city. A statistician designs an experiment for 200 mature maple trees and randomly assigns half of the trees to receive this new pesticide, and the rest of the trees receive a control treatment. Is there any obvious way to improve this experiment to evaluate the effectiveness of this new pesticide? Choose the best answer below: A. Yes, stratifying must be used B. No, basic variations have been accounted for. C. Yes, matching must be used. D. Yes, a placebo is missing. E. Yes, blocking must be used.
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?
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.…
Tossing a Coin. If we repeatedly toss a balanced coin, then, in the long run, it will come up heads about half the time. But what is the probability that such a coin will come up heads exactly half the time in 10 tosses?
In randomized, double-blind olinical trials of a new vaccine, rats were randomly divided into two groups. Subjects in group x received the new vaccine while subjects in group y received a control vaccine. After the first dose, 118 of 718 subjects in the experimental group (group x) experienced vamiting as a side effect. After the first dose, 74 of 619 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 95% confidence interval for the difference between the two population proportions, P, - P, The 95% confidence interval for P,-P, is ( (Round to three decimal places as needed.)
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, 123 of 460 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 24 of 106 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a different proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the a = 0.01 level of significance? Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: P1 =0 versus Ho: P, #0 B. Ho: P =P2 versus H,: P, P2 The test statistic zo is (Round to two decimal places as needed.)

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