Question

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200, with 200 being the highest level of motivation. The mean score for U.S. college students is about 115, and the standard deviation is about 30. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 20 students who are at least 30 years of age.

State the null and alternative hypotheses:

Drug use is becoming an increasingly large problem at the high school athletic level and more and more schools are beginning to employ randomized drug testing. If a student tests positive for illegal substances, he/she is removed from the athletic team, issued a one-week suspension and ordered to attend a substance abuse class. In order to test for the use of illegal drugs, a urine sample is administered to a random sample of 100 athletes at ABC High School. The test uses the following hypotheses:

H0: student has not used drugs in last 72 hours

Ha: student has used drugs in last 72 hours

  

In the context of this situation, describe a type I and a type II error.

Type I:

Type II:

Which type of error do you think is more alarming from the student athlete’s viewpoint? Explain.

Answer 1

1)

2)

In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is incorrectly retaining a false null hypothesis (also known as a "false negative" finding)

type i error -

it means we declare that student has used drugs in last 72 hours even though
he is innocent

type ii error -

this means we decide to declare that student has not used drugs in last 72 hours even though
he is not innocent and used drugs in last 72 hours

type i error is more alarming from the student athlete’s viewpoint, because one innocent student can removed from the athletic team,

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