It is known that roughly 5% of the general populationcarry a certain virus. A health researcher believes thatamong caucasian males the percentage is actually lower. Which of thefollowing will provide the most convincing evidence to support theresearcher's suspicion?A. O Out of 25 randomly chosen caucasian males, 1 male carries thevirus.B. O Out of 70 randomly chosen caucasian males, 3 males carry thevirus.C. O Out of 6,000 randomly chosen caucasian males, 288 males carrythe virus.D. Out of 6,000 randomly chosen caucasian males, 240 males carrythe virus.

Answered: Image /qna-images/answer/f23ca2a1-343c-41ec-b3f7-2f0208b8d6b5.jpg

Answered: It is known that roughly 5% of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?
It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 210 students from that college, whether or not a student was left-handed was recorded for each student. The college wants to know if the data provide enough evidence to show that students at this college have a different percentage of left-handers than the general American population? State the random variable, population parameter, and hypotheses. State the Type I and Type II errors in the context of this problem.a) The symbol for the random variable involved in this problem is The wording for the random variable in context is as follows: b) The symbol for the parameter involved in this problem is The wording for the parameter in context is as follows: c) Fill in the correct null and alternative hypotheses: H0:H0: HA:HA:…
4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. 4. A researcher interviews by phone a province-wide random sample of persons aged 18 and above about their attitude toward divorce. Using the following set of results, the hypothesis that the attitude of respondent toward divorce vary across gender was tested. Table 1. Contingency Table Male Female 88 Favor Not in favor 39 46 92 Table 2. Analysis Result Value df Sig. (2-sided) Stat 17.922 1 .000 a. How many respondents are involved in the study? b. What are the measurement levels of gender and attitude?
In a random sample of 1,000 people, it is found that 7.2% have a liver ailment. Of those who have a liver ailment, 10% are heavy drinkers, 50% are moderate drinkers, and 40% are nondrinkers. Of those who do not have a liver ailment, 13% are heavy drinkers, 46% are moderate drinkers, and 41% are nondrinkers. If a person is chosen at random, and he or she is a heavy drinker, what is the empirical probability of that person having a liver ailment? (Hint: Draw a tree diagram first)
Teen deaths. Traffic accidents are the leading causeof death among people aged 15 to 20. In May 2002,the National Highway Traffic Safety Administrationreported that even though only 6.8% of licensed driversare between 15 and 20 years old, they were involved in14.3% of all fatal crashes. Insurance companies havelong known that teenage boys were high risks, but whatabout teenage girls? One insurance company foundthat the driver was a teenage girl in 44 of the 388 fatalaccidents they investigated. Is this strong evidencethat the accident rate is lower for girls than for teensin general?a) Test an appropriate hypothesis and state yourconclusion.b) Explain what your P-value means in this context.
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge-drinking" behavior: having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college who binge drink is actually lower than the national proportion. In a commissioned study, 346 students are selected randomly from a list of all students enrolled at the college. Of these, 135 admit to having engaged in binge drinking.The college president is more interested in testing her belief that the proportion of students at her college who engage in binge drinking is lower than the national proportion of 0.41. What is the P-value? (Round your answer to four decimal places.) P-value =
A psychologist wants to know whether viewing more violent TV shows affects aggressive behavior. 12 children were chosen at random for an experiment and randomly allocated to one of two conditions. In condition 1, six kids were given an aggressive behavior test. The more aggressive the conduct, the higher the score. In condition 2, six children were given the identical test after watching two hours of tv shows. The following results were obtained. Condition 1 5 14 6 8 7 6 Condition 2 12 14 14 8 15 9 Q1, The alternative (H1) hypothesis and null (H0) hypothesis are (2-tail) _________. a. H1: violent TV show does not affects aggressive behavior H0: violent TV show affects aggressive behavior b. H1: violent TV show affects aggressive behavior H0: violent TV show does not affect aggressive behavior
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…
3. The following experiment was carried out to evaluate a drug for the prevention of heart attacks. The subjects were 3,900 middle-aged men with heart trouble. Out of these men, 1,100 were assigned at random to receive the drug, and the remaining 2,800 were given a placebo. The subjects were followed for five years. In the group that received the drug, there were 220 deaths; in the placebo group, there were 588 deaths. Note that 220 is 20% of the treatment group, and 588 is 21% of the control group. Someone argues as follows: “A 1% difference may not seem like much, but 1% of a million, for example, is 10,000. The drug will save tens of thousands of lives.” Should we be convinced by the difference between the two groups, or do you think the results are just due to chance? Carry out all the steps of a hypothesis test and state your conclusion.
The enrolled student population at Indiana University-Bloomington, both undergraduate and graduate, is 64.9% White, 7.76% Asian, 7.32% Hispanic or Latino, 4.52% Two or More Races, 4.26% Black or African American, 0.0463% American Indian or Alaska Native, and 0.0287% Native Hawaiian or Other Pacific Islanders. Suppose that in a random sample of 250 students, 40 of them are Asian. Suppose we sample another 250 students from this population, what is the expected proportion of Asian students? b. a. C. Suppose we sample another 250 students from this population, what is the standard deviation of the proportion of Asian students? For a sample of 250 students out of this population, what is the probabilty that the proportion of Asian students is between 6% and 8%?
A random survey of health issues, conducted by the Department of Public Health of the Commonwealth of Massachusetts, examined the results from the state's seven largest cities. These cities were selected on the basis of their diverse racial and ethnic populations. The percentage of adults with diabetes in each city in the survey is given in the following table. City Boston Worcester Springfield Lowell Fall River Lawrence NewBedford Adults withDiabetes (%) 4.2 5.2 9.1 5.7 8.1 7.9 6.3 Find the average percentage of adults with diabetes in these seven cities. (Round your answer to two decimal places.) %What is the standard deviation for these data? (Round your answer to two decimal places.) %
Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 123 people living in Gastown and finds that 24 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 19.51% (24/123) of Gastown residents are living below the poverty line. ? + B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 24/123. ? + C. If another random sample of 123 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…

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