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- During a flu vaccine shortage in the United States, less than a majority ofpeople were able to receive the vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. a) Construct and interpret a 95 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine.A marketing study with a random sample of 400 results in 160 subjects reacting positively to the proposed product. Determine the 95% confidence interval for the population proportion.The production manager in an automobile plant is concerned with the number of cars that do not pass the final quality control inspection. In the last two hours he noted that in a sample of 120 cars only 92 were acceptable. The lower and upper limit of a 95% confidence interval for the true percentage of all cars that would not pass the final quality control inspection would be:
- A Study of police gunfire report during a recent year, found that among 540 shots fired by the NYPD, 182 hit their target, and among 283 shots fired by the LAPD, 77 hit their targets. Use a 5% significance level to test the claim that the New York Police and LAPD have the same proportion of hits a) Confidence interval b) ConclusionIn a clinical trial for Lipitor, (a drug used to lower cholesterol), it was found that out of 863 patients, 47 reported headaches. Construct a 95% confidence interval for these results.In a study of contamination at landfills containing construction and demolition waste, 42 leachate specimens were tested for the presence of several contaminants. Of the 42 specimens, 26 contained detectable levels of lead, and 32 contained detectable levels of chromium. Is it possible, using the methods of this section, to find a 95% confidence interval for the difference between the probability that a specimen will contain a detectable amount of lead and the probability that it will contain a detectable amount of chromium? If so, find the confidence interval. If not, explain why not.
- In order to judge the effectiveness of an advertising campaign for a certain brand of pretzel, a company obtained a simple random sample of 95 convenience store receipts the week before the ad campaign began, and found that 28 of them showed a purchase of the pretzels. Another simple random sample of 65 receipts was taken the week after the ad campaign, and 33 of them showed a pretzel purchase. Construct a 98% confidence interval for the difference between the proportions of customers purchasing pretzels before and after the ad campaign. Interpret the results. A marketing manager claims that the proportion of customers who purchased pretzels did not change after the ad campaign. Does the confidence interval contradict this claim?A random sample of 62 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 37 of these helmets some damage was observed. Find a 90% two-sided confidence interval on the true proportion (p) of helmets of this type that would show damage from this test. 0.517 <= p <= 0.677 0.597 <= p <= 0.677 0.517 <= p <= 0.699 0.494 <= p <= 0.699 0.494 <= p <= 0.677In a trial of 350 patients who received 10-mg doses of a drug daily, 49 reported headache as a side effect. Construct a 90% confidence interval for the population proportion of patients who receive the drug and report headache as a side effect.
- In a trial of 275 patients who received 10-mg doses of a drug daily, 44 reported headache as a side effect. From the information above, construct and interpret a 95% confidence interval or the population proportion of patients who received the drug and report a headache as a side effect. One can be ____ % confident that the proportion of patients who receive the drug and report a headache as a side effect is between ___ and ___ .In a survey of 500 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. Assuming that it is reasonable to regard this sample of 500 potential jurors as representative of potential jurors in the United States, use the given information to construct a 95% confidence interval for the true proportion of potential jurors who regularly watch at least one crime-scene investigation series.In studying an anomaly in chick embryos, 50 fertilized eggs were injected with a treatment on the fourth day of incubation. On the twentieth day of incubation, the embryos were examined and in 12 the presence of the abnormality was observed. Find a 95% confidence interval for the proportion of fertilized eggs that showed no abnormality. (A) ( 0.142, 0.374 ) (C) ( 0.625, 0.857 ) (B) ( 11.142, 12.857 ) (D) ( 37.142, 38.857 ) If you feel the answer is none of the choices given, submit no answer to the question.