In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 305 infants using bednets, 14 developed malaria. Among 259 infants notusing bednets, 24 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets.a. Test the claim using a hypothesis test.b. Test the claim by constructing an appropriate confidence interval.c. Based on the results, do the bednets appear to be effective?a. What are the null and alternative hypotheses?Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below.A. Ho: P1 P2H₁: P1 P2D. Ho: P1P2H₁: P1 P2Identify the test statistic.(Round to two decimal places as needed.)B. Ho: P₁ =P2H₁: P1 P2○ E. Ho: P₁ SP2H₁: P1 P2C. Ho: P1 P2H₁: P1 P2OF. Ho: P₁ =P2H₁: P1 P2

Step 1: State the null and alternative hypotheses:Let:p1 be the proportion of infants using bednets…

Answered: In a randomized controlled trial,…

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 school director has proposed that all verbal discussions must be accompanied by video lectures to enhance the knowledge and skills of the students. In order to check if the proposal is effective, a random sample of 13 students is subjected for an experiment. They were given a 200-item quiz after a discussion with no video lecture, and another quiz of equal number of items after showing a video lecture. The scores are presented in the table below. Construct a 99% confidence interval for the difference between the samples. Disregarding the external factors, is the proposal going to be effective? Why or why not? Before 152 127 86 141 102 97 100 89 96 102 113 125 109 After 143 138 100 145 116 104 84 97 124 110 91 106 104
Traffic engineers compared rates of traffic collisions at intersections with raised medians and rates at intersections with two-way left-turn lanes. They found that out of 4,512 collisions at intersections with raised medians, 2,202 were rear-end collisions, and out of 4,277 collisions at two-way left-turn lanes, 1,903 were rear-end collisions.Assuming these to be random samples of collisions from the two types of intersections, construct a 95% confidence interval for the difference between the proportions of collisions that are of the rear-end type at the two types of intersection. Interpret the results. Does the confidence interval contradict the claim that the proportion of rear-end collisions is the same at both types of intersection?
A study of 420,092 cell phone users found that 134 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0322% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 95% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %
In an engineering class, students want to determine the difference in the mean strength between two different types of building materials—Type A, which is relatively inexpensive, and Type B, which is slightly more expensive. The students take a random sample of 60 of the Type A building material and a random sample of 27 of the Type B building material. Given the mean strength for each sample, the students construct a 95% confidence interval for the difference in population means. (a) Determine the degrees of freedom for the conservative approach for finding the t critical value. (b) Find the t critical value associated with 95% confidence. (Use a table or SALT. Round your answer to two decimal places.)
A study of 420,082 cell phone users found that 136 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0415% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %
A retail store is considering adding a new product line to its inventory. The store wants to know whether the new product line will be popular with customers. To determine this, they take a random sample of customers and ask if they would be interested in buying the new product line. Of the 125 people they asked, 70 were interested in this new product line. The manager is interested in creating a 90 % confidence interval regarding the population parameter.
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Use the technology of your choice to obtain the required Tukey multiple-comparison confidence intervals with a family confidence level of 0.95. Hospital Stays. The U.S. National Center for Health Statistics collects data on length of stay in noninstitutional, short-stay hospitals by sex and age. Results are published in Vital and Health Statistics. Independent random samples of Americans were taken to compare the lengths of stay (in days) for males and females in four age groups (15–24 years, 25–34 years, 35–44 years, and 45–64 years). Obtained for a two-way ANOVA on these data and also supplies a table of cell and marginal means.
A new rocket launching system is considering short range launches. The existing system is p= 0.78 as the probability of a successful launch. A sample of 45 experimental launches is made with the new system. Construct a 95% confidence interval for p.
A researcher is interested in estimating the average amount of sleep obtained by first-year students at MacEwan University. The researcher obtains a random sample of 100 first-year students from MacEwan from which she obtains an average of 7.1 hours of sleep. a. Suppose the researcher obtains a 95% confidence interval of (6.9, 3). What is the margin of error? b. It is recommended that young adults sleep at least 7.5 hours per night. Does the interval from (a) provide evidence that, on average, first-year students at MacEwan are under sleeping? Explain c. Is it necessary for the population of interest to be normally distributed for the interval in (a) to be valid? Explain. d. Briefly explain why the interval estimate from (c) is superior to the point estimate.
A study of 420,031 cell phone users found that 136 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0316% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system. %
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