1,600 persons in a locality exposed to small- pox, 300 in all were attacked. nated and of these only 30 were attacked. Can vaccination be re- Of 1,600 persons 400 had been vacci- parded as a preventive measure for small-pox?
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- A certain county had a population of 34,485 people. The county hospital is interested in estimating the number of people in the county with blood type-O. To do this, they test blood samples from 228 patients. Out of this group, 10 have blood type-O. Use this sample to estimate the number of people in the county with blood type-O.A pharmaceutical company has developed a new drug aimed at reducing the number of people affected by a particular disease. The current existing drug available on the market has a cure rate of 60%. However, before the pharmaceutical company can put the new drug on the market, the authorities need to be convinced that it is safe and more effective than the existing one. A trial is then set up. The new drug is given to 280 randomly selected patients who suffer from this disease. After the treatment, 196 people are cured. a) Is the new medicine more effective than the traditional one? Comment on your results. As a control group, 140 new patients who suffer from the same disease are selected at random but the patients in that group are given only (without knowing) vitamin C. After this “treatment” 70 people are cured. b) Is the vitamin worse than the traditional medicine in curing the disease? Comment on your results. c) On the basis of the evidence in part a) and part b) should the…To gauge how her fellow lawmakers view the proposed “Child Car Seat" Law, 12 randomly selected members of the house were interviewed. Ten of them were supporting the proposed law. Is there evidence to say that the majority of the members of the house will approve the said proposal? Which of the following statements is(are) TRUE? * I. The appropriate alternative hypothesis is the proportion of the O members of the house that will approve the proposal is less than 50%. II. Approximate Z-test can be performed as a test procedure. O Both I and II O Neither I nor II
- It’s assumed that students need to stay awake more to study during finals week. One way to measure this is how much coffee is consumed during Finals week at night. A local coffee house near APU counted the number of cups of coffee sold per hour during Finals week after 6 p.m. We randomly select ten (10) hours of sales records during Finals week and find out that the following number of cups of coffee were consumed: 18, 17, 22, 14, 17, 20, 22, 24, 15, 15 By comparison, the sales records from a previous week were used as a comparison. The following number of cups of coffee were consumed over a seven (7) hour period: 9, 13, 5, 15, 17, 10, 11 a. Determine what is the appropriate statistical procedure, with a brief explanation (one sentence) as to why this is the appropriate procedure. b. State the null hypothesis. c. Execute the proper calculations with the appropriate procedures. d. Present a graph when appropriate of your results. e. Include any appropriate post-hoc tests. f. State…For quality control purposes, a local toy company inspects two yo-yo’s out of everyshipment containing 20 yo-yo’s. How many ways can a sample of two yo-yo’s beselected from each shipment?If in a village actually involved by anthrax, 70 per cent of the goats are attacked and 85 per cent have been inoculated with vaccine : whdats are lowest percentage of the inoculated that must have been attacked 2
- There are 9 million enrollees in the Department of Veterans Affairs health care system. It wants doctors and nurses to treat pain as a “fifth vital sign” to be recorded along with blood pressure, pulse, temperature, and breathing rate. If you were to aid the VA in this situation, how would you measure a patient’s pain? How could this “fifth vital sign” be a potentially invalid measure? Answer each question with at least one paragraph of three complete sentences.A community has 60,000 inhabitants, 35,000 of which are female. Of the female population, 525 have been diagnosed with osteoporosis. What is the prevalence rate per 1,00p?What is trignomentry ?
- The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Time Number of Accidents Time Number of Accidents 8 up to 9 a.m. 10 1 up to 2 p.m. 11 9 up to 10 a.m. 9 2 up to 3 p.m. 12 10 up to 11 a.m. 12 3 up to 4 p.m. 7 11 up to 12 p.m. 6 4 up to 5 p.m. 11 Click here for the Excel Data File Using the goodness-of-fit test and the 0.10 level of significance, determine whether the accidents are evenly distributed throughout the day. H0: The accidents are evenly distributed throughout the day.H1: The accidents are not evenly distributed throughout the day. a. State the decision rule, using the 0.10 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 3 decimal places.) c. What is your decision regarding H0?At the scene of a crime, the police have found a blood stain, a footprint, and some threads from a fabric. All are presumed to have been left by the person who committed the crime. After analyzing the evidence it is found that: • The blood type is a type found in only 10% of the population. • The footprint is a size 13 men's shoe and only 9% of the population wears that shoe size. Only 30% of the population owns clothing made from a fabric that matches the thread samples found at the scene. The police have a suspect who matches all of the criteria. He has the same blood type, the same shoe size, and owns clothing matching the threads found at the scene of the crime. While this is only circumstantial evidence, what is the probability that a random person would match all of these characteristics if the three characteristics are assumed to be independent of each other? (Give your answer correct to four decimal places.)Advil and Motrin IB produce the same headache relief medication with the active ingredient ibuprofen. Each pillshould contain 200 mg of ibuprofen. A health agency obtains a sample of ten tablets from both manufacturers and measureshow much ibuprofen each pill actually contains.Number of milligrams measuredAdvil 199.25 198.50 200.10 200.75 201.00 198.00 200.10 199.00 201.10 202.20Motrin IB 205.00 195.80 195.20 203.20 205.80 194.40 204.60 194.60 207.20 194.20(a) Verify on your calculator that each sample has a mean value of 200 mg.(b) What is the range of each sample?(c) However, based on the given sample values, which company would you prefer to buy from? Justify your answer with statisticalreasoning. (Hint: argue using standard deviation and explain why this is desirable in this situation)