Question

In: Statistics and Probability

According to the National Institute on Alcohol Abuse and Alcoholism, 19% of college students aged 18...

According to the National Institute on Alcohol Abuse and Alcoholism, 19% of college students aged 18 to 24 abuse alcohol.1

Describe the population proportion of interest in words. What value are we assuming for this proportion?

What is the sampling distribution for the sample proportion of college students aged 18 to 24 that abuse alcohol from a random sample of size 100 from this population? Make sure to explain why the appropriate conditions are met or not met as part of your answer.

In a random sample of 100 college students aged 18 to 24, 22 abused alcohol. Compute the statistic of interest.

What is the probability of obtaining a sample of 100 college students aged 18 to 24 that has less than 22 students that abuse alcohol?

What is the probability of obtaining a sample of 100 college students aged 18 to 24 that has a sample proportion of students that binge drink more than 0.25?

Solutions

Expert Solution

According to the National Institute on Alcohol Abuse and Alcoholism, 19% of college students aged 18 to 24 abuse alcohol.1

Describe the population proportion of interest in words. What value are we assuming for this proportion?

The population of interest is all "college students aged 18 to 24".

----------------------------------------------------------------------------------------------------------

Given and .

Since , we can use normal distribution here with mean and standard deviation:

----------------------------------------------------------------------------------------------------------

In a random sample of 100 college students aged 18 to 24, 22 abused alcohol. The statistic of interest, the sample proportion is:

----------------------------------------------------------------------------------------------------------

The probability of obtaining a sample of 100 college students aged 18 to 24 that has less than 22 students that abuse alcohol is:

----------------------------------------------------------------------------------------------------------

The probability of obtaining a sample of 100 college students aged 18 to 24 that has a sample proportion of students that binge drink more than 0.25 is:

orchestra answered 2 years ago
Next > < Previous

Related Solutions

According to the National Institute on Alcohol Abuse and Alcoholism and the National Institute of Health,...
According to the National Institute on Alcohol Abuse and Alcoholism and the National Institute of Health, 41% of college students nation-wide engage in “binge drinking” behavior, that is 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 who binge drink is different than the national proportion. In a commissioned study of her college only, 348 students are randomly selected from a list of...
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of...
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 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, 348 students are selected randomly from a list of all students enrolled...
77) According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes...
77) 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, 347 students are selected randomly from a list of all students enrolled...
According to the National lnstitute on Alcohol Abuse and Alcoholism, 41% of college students nationwide engage...
According to the National lnstitute on Alcohol Abuse and Alcoholism, 41% 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 lower than the national proportion. ln a commissioned study, 348 students are selected randomly from a list of all students enrolled at the college. Of these, 132 admitted to...
Alcohol abuse and dependence The National Institute on Alcoholism and Alcohol Abuse has a great deal...
Alcohol abuse and dependence The National Institute on Alcoholism and Alcohol Abuse has a great deal of information on this topic. Go to their website and present one article to your classmates; give the website, the citation, and a summary of what it says. No article should be repeated.
Alcohol abuse and dependence The National Institute on Alcoholism and Alcohol Abuse has a great deal...
Alcohol abuse and dependence The National Institute on Alcoholism and Alcohol Abuse has a great deal of information on this topic. Go to their website and present one article to your classmates; give the website, the citation, and a summary of what it says. No article should be repeated.
5. In a 2011 National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults...
5. In a 2011 National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that they had never consumed alcohol. Suppose that this result is true for the 2011 population of American adults. In a recent random sample of 2300 adult Americans, 35% said that they had never consumed alcohol. Test the hypothesis that the current percentage of American adults who have never consumed alcohol is different from 33%. What is your conclusion if the significance level...
According to the Institute for Students in Shackles, 70% of all college students in a recent...
According to the Institute for Students in Shackles, 70% of all college students in a recent year graduated with student loan debt.  The University of Florida reports that only 52% of its graduates from a random sample of 500 students have student loan debt. Use a hypothesis test to determine if there is enough evidence to support UF’s claim that student loan debt is less. a) State your null and alternative hypothesis. b) Find p-hat, SD, Z, and the P-value
A college research group reported that 43​% of college students aged​ 18-24 would spend their spring...
A college research group reported that 43​% of college students aged​ 18-24 would spend their spring breaks relaxing at home in 2009. A sample of 165 college students was selected. Complete parts a through d below. a. Calculate the standard error of the proportion. σp = ​(Round to four decimal places as​ needed.) b. What is the probability that less than​ 40% of the college students from the sample spent their spring breaks relaxing at​ home? ​ P(Less than​ 40%...
A group of deaf college students (approximately 10 male and female students, aged 19-23 years) has...
A group of deaf college students (approximately 10 male and female students, aged 19-23 years) has requested a speaker on birth control. You have been given the assignment. With your new found knowledge of people who are hearing impaired or deaf,describe the steps you would take to plan for this presentation. Be as specific as you can in answering this question. Construct three learning objective, and then select three or more appropriate presentation/health communication/instruction method related to contraception education that...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT