In a large clinical trial, 395,063 children were randomly assigned to two groups. The treatment group consisted of 198,741 children given a vaccine for a certain disease, and 29 of those childrendeveloped the disease. The other 196,322 children were given a placebo, and 100 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Completeparts (a) through (d) below.a. Assume that a 0.01 significance level will be used to test the claim that p₁

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Answered: In a large clinical trial, 395,063…

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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Identify whether the studies described here are based on (1) single samples, (2) paired samples, or (3) independent samples. Cardiovascular disease risk factors are compared in husbands and wives. A nutritional exam is applied to a random sample of individuals. Results are compared to the results of the whole nation. An investigator compares vaccination histories in 30 autistic schoolchildren to a simple random sample of non-autistic children from the same school district.
Four brands of lightbulbs are being considered for use in the final assembly area of the Ford F-150 truck plant in Dearborn, Michigan. The director of purchasing asked for samples of 100 from each manufacturer. The numbers of acceptable and unacceptable bulbs from each manufacturer are shown below. At the 0.05 significance level, is there a difference in the quality of the bulbs? Manufacturer A B C Unacceptable Acceptable 12 11 88 92 95 89 Total 100 100 100 100 E Click here for the Excel Data File Hg: There is no relationship between quality and manufacturer. H: There is a relationship between quality and manufacturer. a. State the decision rule. Use the 0.05 significance level. (Round your answer to 3 decimal places.) Reject Ho if chi-square >
Among drivers who have had a car crash in the last year, 110 were randomly selected and categorized by age, with the results listed in the table below. Age Under 25 25-44 45-64 Over 64 Drivers 44 24 15 27 If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is x²= The critical value is x² = The conclusion is OA. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages. OB. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages.
In the US, 45.1% of all people have type O blood, 40.9% have type A blood, 10.6% have type B blood and 3.4% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3564 millionaires. What can be concluded at the αα = 0.10 significance level? Complete the table by filling in the expected frequencies. Round to the nearest whole number: Outcome Frequency Expected Frequency O 1590 A 1477 B 388 AB 109 What is the correct statistical test to use? What are the null and alternative hypotheses?H0: The distribution of blood type for millionaires is the same as it is for Americans in general. Blood type and income are independent. Blood type and income are dependent. The distribution of blood type for millionaires is not the same as it is for Americans in general. H1: The distribution of blood type for millionaires is not the same as it is for…
2. Interpret this data.
Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the F table.)a. Complete an ANOVA table. (Round MS and F to 2 decimal places.) Anova Source SS df MS F Factor A 70 ___ ___ ___ Factor B 90 ___ ___ ___ Interaction 300 ___ ___ ___ Error 600 ___ ___ Total 1060 ___ b. Find the critical values to test for equal means. (Round your answers to 2 decimal places.) Critical values to test for equal means are Factor A _____, Factor B ____ and interaction ______ respectively. c. Determine if there is a…
In a large clinical trial, 395,241 children were randomly assigned to two groups. The treatment group consisted of 197,457 children given a vaccine for a certain disease, and 38 of those children developed the disease. The other 197,784 children were given a placebo, and 143 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Complete parts (a) through (d) below. a. Assume that a 0.05 significance level will be used to test the claim that p₁
2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.

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