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Chapter 8: Q.2.1 (page 490)

Alcohol abuse has been described by college presidents as the number one problem on campus, and it is an important cause of death in young adults. How common is it? A survey of 10,904 randomly selected U.S. college students collected information on drinking behavior and alcohol-related problems." The researchers defined "frequent binge drinking" as having five or more drinks in row three or more times in the past two weeks. According to this definition, 2486 students were classified as frequent binge drinkers.

1. Identify the population and the parameter of interest.

2. Check conditions for constructing a confidence interval for the parameter.

3. Find the critical value for a 99 \% confidence interval. Show your method. Then calculate the interval.

4. Interpret the interval in context.

Short Answer

Expert verified

Population = U.S college students.

Parameter of interest = Proportion of frequent binge drinkers

Step by step solution

01

Step 1:Given Information

Number of success (x) =10904

Number of trials (n)=2486

02

Explanation

The population is the set of individuals from which population inferences are made. The population is college students in the United States, and the parameter is the fraction of habitual binge drinkers.

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Most popular questions from this chapter

You have measured the systolic blood pressure of an SRS of 25company employees. A 95%confidence interval for the mean systolic blood pressure for the employees of this company is (122,138). Which of the following statements gives a valid interpretation of this interval?

(a) 95%of the sample employees have systolic blood pressure between 122and138.

(b) 95%of the population of employees have systolic blood pressure between 122and138.

(c) If the procedure were repeated many times, 95%of the resulting confidence intervals would contain the population mean systolic blood pressure.

(d) The probability that the population mean blood pressure is between 122and138is 0.95.

(e) If the procedure were repeated many times, 95%of the sample means would be between122and138.

Alcohol abuse has been described by college presidents as the number one problem on campus, and it is an important cause of death in young adults. How common is it? A survey of 10,904 randomly selected U.S. college students collected information on drinking behavior and alcohol-related problems.9 The researchers defined 鈥渇requent binge drinking鈥� as having five or more drinks in row three or more times in the past two weeks. According to this definition, 2486 students were classified as frequent binge drinkers.

Interpret the interval in context. Putting It All Together

The weights (in pounds) of three adult males are 160,215and195. The standard error of the mean of these three weights is

(a) 190

(b) 27.84

(c) 22.73

(d) 16.07

(e)13.13

In each of the following situations, discuss whether it would be appropriate to construct a one-sample tinterval to estimate the population mean.

(a) We want to estimate the average age at which U.S. presidents have died. So we obtain a list of all U.S. presidents who have died and their ages at death.

(b) How much time do students spend on the Internet? We collect data from the 32members of our AP Statistics class and calculate the mean amount of time that each student spent on the Internet yesterday.

(c) Judy is interested in the reading level of a medical journal. She records the length of a random sample of 100words from a multipage article. The Minitab histogram below displays the data.

In each of the following settings, check whether the conditions for calculating a confidence interval for the population proportion p are met.

1. An AP Statistics class at a large high school conducts a survey. They ask the first 100 students to arrive at school one morning whether or not they slept at least 8 hours the night before. Only 17 students say "Yes."

2. A quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, 3 had too much salt.
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