1.4.26 Researchers wanted to test the hypothesis thatliving in the country is better for your lungs than living ina city. To eliminate the possible variation due to genetic dif-ferences, they located seven pairs of identical twins with onemember of each twin living in the country, the other in acity. For each person, they measured the percentage of in-haled tracer particles remaining in the lungs after one hour:the higher the percentage, the less healthy the lungs. Theyfound that for six of the seven twin pairs the one living in thecountry had healthier lungs.a. Is the alternative hypothesis one-sided or two-sided?b. Based on the sample size and distance between the nullvalue and the observed proportion, estimate the strengthof evidence: inconclusive, weak but suggestive, moder-ately strong, strong, or overwhelming.c. Here are probabilities for the number of heads in seventosses of a fair coin:# Heads123456Probability 0.0078 0.0547 0.1641 0.2734 0.2734 0.1641 0.0547 0.0078Compute the p-value and state your conclusion.

Answered: 1.4.26 Researchers wanted to test the…

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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Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. 7.14 Of the 15 new MI cases in the preceding study, 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. a. Clearly state an appropriate…
Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. Suppose that 25% of patients with Mi in 2000 died within 24 hours. This propartion is called the 24-hour case-fatality rate. Of the 15 new MI cases in the preceding study. 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.
. 1 A city recorded 3790 births and 1257 deaths in 2020. The city’s population was 183000. What was the crude death rate for the city in 2020. Q. 2 Among a total of 200 patients with disease A, 20 of them died from the same disease within 30 days. Find the 30-day case fatality rate.
A person with tuberculosis is given a chest x-ray. Four tuberculosis x-ray specialists examine each x-ray independently. If each specialist can detect tuberculosis 83% of the time when it is present, what is the probabilty that at least 1 of the specialists will detect a person positive.
A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations. The results include the following sum of squares terms: SST=1542 SSA= 1042 SSB = 358 SSAB = 39 a. Construct an ANOVA table. (Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Interaction Error Total SS 0 df Answer is not complete. 0 MS F p- value 0.000 0.000 0.002
An educator is interested in determining if the medium used for online classes, whether a smartphone or laptop/desktop, influences the time (hrs) that Grade 12 students spend in these classes. A random sample of 10 students who were using smartphones and another random sample of 10 students who were using laptop/desktop were interviewed and reported the following times they spend in their daily online classes: Smartphone 0 30230 1 5 4 3 Medium for Online Class Laptop/Desktop 2 7 3 3 0 3 1 3 15 Suppose the assumption of equality of variance is satisfied. Perform an appropriate test of hypothesis to determine if the average time spent online significantly differs between the students using these two mediums. Use a 5% level of significance.
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In late July 2016, the Ohio Department of Health collected vials of water from 12 beaches on Lake Erie to investigate water quality. Those vials were being tested for E. coli bacteria which are found in human and animal feces and can cause illness and disease, should a swimmer accidentally ingest some water. These beaches had been found to be safe earlier in the summer with E. coli counts, on average of 88 per 100-millileter vial (about 3.4 ounces). However, E. coli counts can change due to weather and other variables. Experts consider it unsafe if a vial contains more than 88 E. coli bacteria. The mean E. coli count in the 12 vials was found to be 113.75 with a standard deviation of 93.9. Is this evidence that the water is unsafe? Test at the 1% level of significance. a) State the hypotheses. b) Find the test statistic and p-value. c) Based on your p-value, state whether or not you will reject the null hypothesis and a statement of your findings, relating back to the problem.
A researcher is studying two types of medication that both treat hives. 23 out of the random sample of 270 adults given medication A still had hives 30 minutes after taking the medication. 15 out of another random sample of 300 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance. The correct hypotheses are: Ho:PA PB (claim) Ho :PA PB H A:PA < PB (claim) Но :РА На :РА # рв (claim) = PB Since the level of significance is 0.01 the critical value is 2.576 and -2.576 The test statistic is: 1.684 x (round to 3 places) The p-value is: 0.092 x (round to 3 places) The decision can be made to:

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