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- Physicians at a clinic gave what they thought were drugs to 960960 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5252 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.490.49. For the hypotheses that the proportion of improving is 0.490.49 against that it is >0.49>0.49, find the p-value. p=p=Physicians at a clinic gave what they thought were drugs to 860860 asthma, ulcer, and herpes patients. Although the doctors later learned that the drugs were really placebos, 5050 % of the patients reported an improved condition. Assume that if the placebo is ineffective, the probability of a patients condition improving is 0.470.47. For the hypotheses that the proportion of improving is 0.470.47 against that it is >0.47>0.47, find the p-value. p=p=question 4 Diagnostic tests of medical conditions can have several types of results. The test resultcan be positive or negative, whether or not a patient has the condition. A positive test (+)indicates that the patient has the condition. A negative test (-) indicates that the patientdoes not have the condition. Remember, a positive test does not prove that the patient hasthe condition. Additional medical work may be required. Consider a random sample of200 patients, some of whom have a medical condition, and some of whom do not. Resultsof a new diagnostic test for the condition are shown. Condition ispresent Condition is absent total Test result (+) 110 20 130 Test result (-) 20 50 70 total 130 70 200 Assume the sample is representative of the entire population. For a person selected at random,compute the following probabilities:a. P(+│condition is present); this is known as the sensitivity of a test. b. P(- │condition is absent); this is known as the…
- Calculate the probability of a sample mean being at least as high as a specified value when σ is estimated?A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 118 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance. ..... What type of variable is "drive an American-made automobile, or not"? A. Qualitative with two possible outcomes B. Discrete C. Continuous…The 2006 Statistical Abstract of the United States reports on a survey that asked a national sample of 80,000 American households about pet ownership. Suppose (for now) that one-third of all American households own a pet cat. Still supposing that one-third of all American households own a pet cat, between what two values do you expect 95% of all sample proportions to fall?
- In a small town in New York, we initiated a cohort study and followed 5,900 people for a mean follow-up of 2 years. At the end of the 2nd year, none of the participants was lost to follow-up. During this follow-up, we identified 600 cases of Covid-19. What was the cumulative incidence? O 10 cases O 10.1% O 50.8% O 10.1 per 1,000In a genetics experiment on peas, one sample of offspring contained 433 green peas and 121 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3/4 that was expected?Consider the following Binomial Experiment: 180 people have been exposed to the flu. If the probability that a person contracting the flu on exposure is 0.37, find the variance of these 180 peopl. contracting the flu. a) O306.4865 b) 041.9580 c) O 0.2331 d) O 24.6420 e) O 113.4000 f) ONone of the above. Review Later
- In the study cited in Exercise 5.5.1, 13 percent of the patients in the study reported previous episodes of stroke or transient ischemic attack. Use 13 percent as the estimate of the prevalence of stroke or transient ischemic attack within the population. If 70 subjects are chosen at random from the population, what is the probability that 10 percent or less would report an incidence of stroke or transient ischemic attack?A news article estimated that only 6% of those ages 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans ages 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.06. (a) A random sample of n = 100 people will be selected from this population and p̂, the proportion of people who prefer to watch online, will be calculated. What are the mean and standard deviation of the sampling distribution of p̂? (Round your standard deviation to four decimal places.) meanstandard deviation (b) Is the sampling distribution of p̂ approximately normal for random samples of size n = 100? Explain. (Select all that apply.) the sampling distribution of p̂ is approximately normalthe sampling distribution of p̂ is not approximately normalnp is…Each scenario shows the data used for a randomisation test on a difference in two proportions. Both have a sample size of n = 30, with half being assigned to Treatment A and half to Treatment B. Scenario 1 has a difference in proportions of 0.4. Scenario 2 has a difference in proportions of 0.2. If we ran a randomisation test for each scenario, the one that would result in a smaller tail proportion in the resulting re-randomisation distribution is: Scenario 2 Scenario 1 Data Yes Yes Data Yes Yes 01 4 LO 5 02 7 No 03 No 0.2 11 →No 05 11 0.4 06 0.7 10 67 8 No DO 4 09 B B 10