Hypothesis Tests Review 1. High levels of cholesterol in the blood are associated with higher risks of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of the two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 in the placebo group had heart attacks. Is the difference statistically significant at the alpha = 0.01 level? Ho: P1 - P2 = 0 H,: P, - P2 < 0

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Hypothesis Tests Review
1. High levels of cholesterol in the blood are associated with higher risks of heart attacks. Will using
a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited
middle-aged men with high cholesterol but no history of other serious medical problems to
investigate this question. The volunteer subjects were assigned at random to one of the two
treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control
group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and
84 in the placebo group had heart attacks. Is the difference statistically significant at the alpha =
0.01 level?
Họ: Pi - P2 = 0
H: P1 - P2 < 0
2. 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:
H,: student has not used drugs in last 72 hours
H: student has used drugs in last 72 hours
In the context of this situation, describe a type I and a type II error.
а.
Турe I:
Туре II:
b.
Which type of error do you think is more alarming from the student athlete's viewpoint?
Explain.
Transcribed Image Text:Hypothesis Tests Review 1. High levels of cholesterol in the blood are associated with higher risks of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? The Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems to investigate this question. The volunteer subjects were assigned at random to one of the two treatments: 2051 men took the drug gemfibrozil to reduce their cholesterol levels, and a control group of 2030 men took a placebo. During the next five years, 56 men in the gemfibrozil group and 84 in the placebo group had heart attacks. Is the difference statistically significant at the alpha = 0.01 level? Họ: Pi - P2 = 0 H: P1 - P2 < 0 2. 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: H,: student has not used drugs in last 72 hours H: student has used drugs in last 72 hours In the context of this situation, describe a type I and a type II error. а. Турe I: Туре II: b. Which type of error do you think is more alarming from the student athlete's viewpoint? Explain.
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