Eight students attended a birthday party. Three of them were confirmed Covid-19 positive. The contact tracer had conducted a random test for only two students. Find the probability distribution for random variable X which represents the number of Covid-19 positive patients. What three statements of the problem can be concluded out of the topic Covid-19?
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Eight students attended a birthday party. Three of them were confirmed Covid-19 positive. The contact tracer had conducted a random test for only two students. Find the
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- Researchers followed a random sample of 2315 middle-aged men from eastern Finland for up to 30 years. They recorded how often each man went to a sauna and whether or not he suffered sudden cardiac death (SCD). The two-way table shows the data from the study. The researchers will perform a chi-square test for independence to test the hypotheses Ho: There is no association between weekly sauna frequency and suffering from sudden cardiac death in the population of middle-aged men from eastern Finland. H: There is an association between weekly sauna frequency and suffering from sudden cardiac death in the population of middle-aged men from eastern Finland. Weekly sauna frequency What are the chi-square statistic, degrees of freedom, 1 or fewer 2-3 4 or more Total and P-value? Yes 61 119 10 190 O x' = 6.032, df = 2, P-value = 0.9510 SCD No 540 1394 191 2125 O x? = 6.032, df = 6, P-value = 0.4196 Total 601 1513 201 2315 O x? = 6.032, df = 3, P-value = 0.1101 O x? = 6.032, df = 2, P-value =…The National Academy of Science reported that 41% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…A veterinary hospital manager suspects that pet owners visit the veterinarian less than 3 times a year. To verify this suspicion, he hires a market research agency that takes a random sample of 64 clients and asks them the number of times they go to the veterinarian per year. The decision the market researcher makes is that if 2.8, then he will have sufficient evidence to say that the manager's suspicion is true. Assume that the frequency of visiting the veterinarian has a standard deviation of 1.02. a) Write the null hypothesis and the alternative hypothesis in this case. b) What is the rejection region used by the investigator? c) What is the probability of type I. error if this rejection region is used? d) If the true mean of the number of visits to the veterinarian is = 2.7, what is the probability of type II error? e) If the true mean of the number of visits to the veterinarian is = 2.7, what is the power of the test? f) If the true mean of the number of visits to…
- The Ministry of Health Malaysia is interested in the post-shot side effects of a particular Covid-19 vaccine on teenagers. The manufacturer of a particular vaccine claims that 50% of the second dose recipients would develop mild side effects than others. The Covid-19 working group performed a hypothesis test to determine if the claimed percentage by the vaccine manufacturer is trustworthy. They sampled 100 teenage vaccine recipients and found that 53 of the recipients had mild side effects after their second dose of Covid-19 vaccine administration. A 5% level of significance was chosen for the hypothesis test. iv. Illustrate the level of significance and the critical value in a graph.In a certain population, 11% of people are infected by a certainvirus. A virus detection test correctly detects 94% of cases in whichindividuals are infected, but mistakenly assigns 6% of positive resultsfor the uninfected (false positives). How likely is it that a person's testof this population give a positive result?Xu and Garcia (2008)conducted a research study demonstrating that 8-month-old infants appear to recognize which samples are likely to be obtained from a population and which are not. In the study, the infants watched as a sample of n = 5 ping-pong balls was selected from a large box. In one condition, the sample consisted of 1 red ball and 4 white balls. After the sample was selected, the front panel of the box was removed to reveal the contents. In the expected condition, the box contained primarily white balls like the sample, and the infants looked at it for an average of M = 7.5 seconds. In the unexpected condition, the box had primarily red balls, unlike the sample, and the infants looked at it for M = 9.9. The researchers interpreted the results as demonstrating that the infants found the unexpected result surprising and, therefore, more interesting than the expected result. Assuming that the standard error for both means is σM = 1 second, draw a bar graph showing the two sample…
- were Classified 2. Pg, 36-7, 1.4.33. At the beginning of a Study individuals, 3% were Classified as heavy Smokers, 25.1. Smokers, and 72% were classified as as light In the 5 year study, it was determined. that the death rates of the heavy and light Smokers were 6 and 3 times that of non smokers. non- of Smokers, respectively. A randomly selected Participant died over the Syear period: Calculate the probability that the participant а nonsmorcer? wasTen hens whose eggs recently hatched were selected at random. From each of these hens, two chicks were selected to test the effect of a vitamin supplement on early growth. The chicks in each pair were siblings of similar high birth weight. One chick in each pair was given the supplement and the other was not. After two weeks the weight of each chick was recorded. The researcher would like to test the research hypothesis that the supplement increases growth rate of chicks in the first weeks after hatching against the null hypothesis that it has no effect. The most appropriate test would be... A. z-test for the difference between two proportions. B. chi-square test. C. paired sample t-test. D. two sample t-test.pls answer no.3 on paper