In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 309 infantsusing bednets, 12 developed malaria. Among 298 infants not using bednets, 35 developed malaria. Use a 0.01 significancelevel 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?1 P1 P211 P1 P211- P1 P2D. Ho P1 P2H₁: P1 P2OE. Ho P1 P2H₁ P1 P2OF. Ho P1 P2H₁ P1 P2Identify the test statistic.- 3.62 (Round to two decimal places as needed.)Identify the P-value.0.000 (Round to three decimal places as needed.)What is the conclusion for this test?Since the P-value is less than the significance level α,rejectthe null hypothesis.b. Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Use a 0.01 significancelevel to construct a confidence interval.<(P1 - P2)(Round to three decimal places as needed.)

The provided information is as follows:The number of infants using bednets is .The number of infants…

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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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. %
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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.
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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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