In a large clinical trial, 393,094 children were randomly assigned to two groups.The treatment group consisted of 196,644 children given a vaccine for acertain disease, and 40 of those children developed the disease. The other196,450 children were given a placebo, and 146 of those children developed thedisease. Consider the vaccine treatment group to be the first sample. Identify thevalues of n₁, p₁, q₁, n2, P2, 92, P, and q.1n₁ = 196644P₁ =(Type an integer or a decimal rounded to eight decimal places as needed.)

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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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In a large clinical trial, 397,971 children were randomly assigned to two groups. The treatment group consisted of 200,057 children given a vaccine for a certain disease, and 37 of those children developed the disease. The other 197,914 children were given a placebo, and 140 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1, p1, q1, n2, p2, q2, p, and q.
In a large clinical trial, 393,290 children were randomly assigned to two groups. The treatment group consisted of 195,135 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 198,155 children were given a placebo, and 109 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values ofn1,p1,q1,n2,p2,q2,p2 and q. n1= p1=(Type an integer or a decimal rounded to eight decimal places as needed.) q1=(Type an integer or a decimal rounded to eight decimal places as needed.) n2= p2=(Type an integer or a decimal rounded to eight decimal places as needed.) q2=(Type an integer or a decimal rounded to eight decimal places as needed.) p=(Type an integer or a decimal rounded to eight decimal places as needed.) q=(Type an integer or a decimal rounded to eight decimal places as needed.)
As products come off a large assembly line, they are inspected for quality. They are placed into one of three categories: pass, fail, or need additional inspection. The manager claims that 80% of the products pass the inspection, 5% fail, and 15% need additional inspection. In an effort to increase the passing rate, the machines are recalibrated. After this recalibration, a random sample of 100 products is selected. It is discovered that 85 passed inspection, 2 failed, and 13 needed additional inspection. The manager would like to know if there is convincing evidence that the distribution has changed. What is the value of the chi-square test statistic and P-value? Find the chi-square table here. χ2 = 2.38, P-value is less than 0.0005 χ2 = 2.38, P-value is greater than 0.25 χ2 = 5.10, P-value is less than 0.0005 χ2 = 5.10, P-value is greater than 0.25
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? Using the p-value that you get from your previous z-test statistic, would you conclude that gemfibrozil is probably effective?
High levels of cholesterol in the blood are associated with higher risks of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of the two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 in the placebo group had heart attacks. Is the difference statistically significant at the alpha = 0.01 level?
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? What is the value of the combined proportion (c)? Round to four decimal places
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In a large clinical trial, 401,049 children were randomly assigned to two groups. The treatment group consisted of 200,607 children given a vaccine for a certain disease, and 33 of those children developed the disease. The other 200,442 children were given a placebo, and 121 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of: n1, p1, q1, n2, p2, q2, p, and q.
A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance-free consumers will buy when they buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 74 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower? What is the…
The drug Finasteride is marketed as Propecia to help protect against male pattern baldness, and it also may protect against prostate cancer. A large sampleof healthy men over age 55 were randomly assigned to receive either a daily Finasteride pill or a placebo. The study lasted seven years and the men had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368 men taking Finasteride and in 1145 of the 4692 men taking a placebo. the 95% confidence interval for the risk difference is (-0.077, -0.043). Compared to this confidence interval, a 98% confidence interval for the risk difference is: a.) wider b.) there is not enough information provided to decide c.) half the width d.) the same width e.) narrower
High levels of cholesterol in the blood are associated with higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 men in the placebo group had heart attacks. Is the apparent benefit of gemfibrozil statistically significant? Using proportion values rounded to four decimal places, what is the z- test statistic? Round your answer to two decimal places.
An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Managed by Adams Branch Managed by McDale Branch Managed by Vasquez 7.8 8.8 6.5 6.6 10.3 8.7 10.1 11.7 10.1 10.6 9.4 11.4 9.1 10.2 Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different…

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