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Chapter 8: Q.2.4 (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.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

Short Answer

Expert verified

The99% probability that the true population proportion of adults that would be classified as binger drivers would fall between0.21764 and 0.23894

Step by step solution

01

Given Information

Given that

Number of students(n)=10904

Number of binger drivers(x)=2486

Confidence level=99%

02

Explanation

We get the confidence interval is(0.21764,0.23834)

There is 99%probability that true population proportion of adults that would be classified as binger drivers would fall between 0.21764and0.23834.

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Most popular questions from this chapter

Researchers were interested in comparing two methods for estimating tire wear. The first method used the amount of weight lost by a tire. The second method used the amount of wear in the grooves of the tire. A random sample of 16tires was obtained. Both methods were used to estimate the total distance traveled by each tire. The table below provides the two estimates (in thousands of miles) for each tire.

(a) Construct and interpret a 95%confidence interval for the mean difference 渭in the estimates from these two methods in the population of tires.

(b) Does your interval in part (a) give convincing evidence of a difference in the two methods of estimating tire wear? Justify your answer.

role="math" localid="1649913699288" TireWeightGrooveTireWeightGroove145.935.7930.423.1241.939.21027.323.7337.531.11120.420.9433.428.11224.516.1531.024.01320.919.9630.528.71418.915.2730.925.91513.711.5831.923.31611.411.2

56. The SAT again High school students who take the SAT Math exam a second time generally score higher than on their first try. Past data suggest that the score increase has a standard deviation of about 50 points.
How large a sample of high school students would be needed to estimate the mean change in SAT score to within 2 points with 95% confidence? Show your work.

62. Blink When two lights close together blink alternately, we 鈥渟ee鈥� one light moving back and forth if the time between blinks is short. What is the
longest interval of time between blinks that preserves the illusion of motion? Ask subjects to turn a knob that slows the blinking until they 鈥渟ee鈥� two lights rather than one light moving. A report gives the results in the form 鈥渕ean plus or minus the standard error of the mean.鈥� Data for 12 subjects are summarized as 251卤45 (in milliseconds).
(a) Find the sample standard deviation sx for these measurements. Show your work.
(b) Explain why the interval 251卤45 is not a confidence interval.

NAEP scores Refer to Exercise 5. Below your sketch, choose one value of x inside the shaded region and draw its corresponding confidence interval. Do the same for one value of x outside the shaded region. What is the most important difference between these intervals?

An online poll posed the following question:

It is now possible for school students to log on to Internet sites and download homework. Everything from book reports to doctoral dissertations can be downloaded free or for a fee. Do you believe that giving a student who is caught plagiarizing an F for their assignment is the right punishment?

Of the 20,125people who responded, 14,793clicked 鈥淵es.鈥� That鈥檚 73.5%of the sample. Based on this sample, a 95%confidence interval for the percent of the population who would say 鈥淵es鈥� is 73.5% 卤0.61. Which of the three inference conditions is violated? Why is this confidence interval worthless?
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