Q.2.2 - The Practice of Statistics for AP

Question

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 “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

Check conditions for constructing a confidence interval for the parameter 

Step-by-Step Solution

Answer

The following conditions are satisfied below

a. Students were randomly chosen.

b. Number of failures and successes are at least$10 .$

Step 1 Given Information

Given that,

Number of students $\left(n\right)=10904$

Number of binger drivers $\left(x\right)=2486$

Confidence level $=99\%$

Step 2 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.