the Binomial nobability obtain the probability that Six students suffered bad reaction D at most students suffered bad reactio a
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)A city official claims that the proportion of all commuters who are in favor of an expanded public transportation system is 50%. A newspaper conducts a survey to determine whether this proportion is different from 50%. Out of 225 randomly chosen commuters, the survey finds that 99 of them reply yes when asked if they support an expanded public transportation system. Test the official’s claim at α= 0.05.
- A pharmaceutical company has developed a new drug to help relieve acid reflux. However, as with all new drugs, there are concerns about adverse side effects. To check this, the company administers the drug to n randomly chosen people with acid reflux, and it finds that k of them experience adverse side effects. The company hopes to reject the null hypothesis that the proportion of drug-takers who experience adverse side effects is at least 0.5%. Which of the following is true? a. If n=1,250 and k=1, this is enough evidence to reject the null at the 1% level. b. If n=1,000 and k=3, this is enough evidence to reject the null at the 10% level. c. If n=4,000 and k=9, this is enough evidence to reject the null at the 1% level. d. If n=1,600 and k=4, this is enough evidence to reject the null at the 5% level.A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 99 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim atα= 0.05.4. A city official claims that the proportion of all commuters who are in favor of an expandedpublic transportation system is 50%. A newspaper conducts a survey to determine whetherthis proportion is different from 50%. Out of 225 randomly chosen commuters, the surveyfinds that 90 of them reply yes when asked if they support an expanded public transportationsystem. Test the official’s claim at α = 0.05.
- n a sample of 120 children selected randomly from one town, it is found that 18 of them suffer from asthma. Which is the best choice for the null and alternative hypothesis to test that the percentage of all children in the town who suffer from asthma is different from 13%? A. H0: p = 0.13 and H1: p > 0.13 B. H0: µ = 0.13 and H1: µ ≠ 0.13 C. H0: µ = 0.13 and H1: µ > 0.13 D. H0: p = 0.13 and H1: p ≠ 0.13A manufacturer of automobiles finds that 15% of the cars are unfit for delivery when they come off theassembly line. A worker proposes a new assembly technique which he claims will reduce the percentage ofunfit cars. His technique is tried on 80 randomly chosen cars. It turns out that 3 are defective.Test at α = 0.05. Show all seven steps to receive full credit.Suppose that Fred, a United States politician from a large western state, wants to create a new law that would require children under the age of 16 to be accompanied by an adult at all times in public places. Based on previous voting records, Fred believes that he could gain the support of 2525% of likely voters. To test his hypothesis, Fred conducts a random survey of 12001200 likely voters and asks if they would support his proposition. Let ?X denote the number of likely voters in Fred's sample that pledge their support, assuming that Fred's belief that 25%25% of likely voters would support his proposal. Which of the following statements are true about the sampling distribution of ?X? -The sampling distribution of ?X is approximately binomial with ?=1200n=1200 and ?=0.25p=0.25. -The sampling distribution of ?X is exactly normal with ?=0.5μ=0.5 and ?=0.0125σ=0.0125. -The sampling distribution of ?X is exactly binomial with ?=1200n=1200 and ?=0.25p=0.25. -The sampling…
- A florist wants to determine if a new additive would extend the life of cut flowers longer than the original additive. The florist randomly selects 20 carnations from the ones recently delivered by the greenhouse and places the first 10 in water with the new additive and remaining 10 in water with the original additive. After three weeks, 6 carnations placed in the new additive still looked healthy and 2 carnations placed in the original additive still looked healthy. The proportion of healthy carnations with the new additive was significantly greater than the proportion of healthy carnations with the original additive. Which of the following is a valid conclusion? Conclusions about cause and effect for the additives can be made, because the florist randomly selected the 20 carnations; additionally, inferences can be made about the population of carnations at the greenhouse. Conclusions about cause and effect for the additives cannot be made, because the florist did not…A medical researcher says that less than 74%of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 600adults in that country, 71% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 andHa. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) Fill the percentage on the correct answer A. % of adults in the country think that healthy children should be required to be vaccinated. B. Less than %of adults in the country think that healthy children should be required to be vaccinated. C. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not %. D. More than…In a simple random sample of 26 Kentucky alum, 23 believe that, despite their title dreams falling short in the Final Four in Indianapolis, the 2015 Wildcats are still the greatest team assembled in the 21st century.Test the hypothesis that more than 81% of Kentucky alum believe that the 2015 Wildcats are the greatest team assembled in the 21st century at the 0.05 level. The correct conclusion is that we 1. cannot 2.can 3.can maybe ..conclude that 1. exactly 2. more than 3.less than 4. a percentage different ...from 81% of 1. all 2. randomly selected 3. sampled ...Kentucky alum believe that the 2015 Wildcats are the greatest team assembled in the 21st century.What level of concern do you have for the validity of your results? Extreme −- we should not use any part of what we've done to make a conclusion None −- all assumptions are met so there appears to be no problem with the conclusion Moderate −- the sample size is only 26, but that's likely close enough to 30 for our results…