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".

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Given and .

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

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

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

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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 1 year ago

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