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Chapter 8: Q.2.2 (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

Check conditions for constructing a confidence interval for the parameter

Short Answer

Expert verified

The following conditions are satisfied below

a. Students were randomly chosen.

b. Number of failures and successes are at least10.

Step by step solution

01

Step       1 Given Information

Given that,

Number of students (n)=10904

Number of binger drivers (x)=2486

Confidence level=99%

02

Explanation

The following are the main conditions for the population proportion confidence interval:

  1. The information must be random.
  2. Values must be unrelated to one another.
  3. The number of successes and failures should be greater than or equal to ten.
  4. The sample size should not exceed 10% of the population.

The following requirements are met below

  1. Students were picked at random.
  2. There are at least 10 failures and achievements.
  3. Students were chosen at random.

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Most popular questions from this chapter

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.

65. Critical value What critical valuet*from Table Bwould you use for a 99%confidence interval for the population mean based on an SRS of size 58? If possible, use technology to find a more accurate value of t*. What advantage does the more accurate dfprovide?

What critical value t鈰�from Table B would you use for a 90%confidence interval for the population mean based on an SRS of size 77? If possible, use technology to find a more accurate value of t鈰�. What advantage does the more accurate df provide?

A TV poll A television news program conducts a call-in poll about a proposed city ban on handgun ownership. Of the 2372 calls, 1921 oppose the ban. The station, following recommended practice, makes a confidence statement: "81%of the Channel 13 Pulse Poll sample opposed the ban. We can be 95% confident that the true proportion of citizens opposing a handgun ban is within1.6% of the sample result."

(a) Is the station's quoted 1.6% margin of error correct? Explain.

(b) Is the station's conclusion justifed? Explain.

Interpret the confidence level.
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