High levels of cholesterol in the blood are associated with a higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? To investigate this question, the Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems. The volunteer subjects were assigned at random to one of 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 men in the placebo group had heart attacks. Do these data give convincing evidence at the a=0.01 significance level that gemfibrozil reduces the proportion of men like these who have heart attacks in comparison to a placebo? STATE: Complete this by dragging items in the answer bank and placing them in the correct box. Leave all unused items in the answer bank. Parameter Evidence for Ha Ha Ho Answer Bank P₁ = true proportion of men like those in the study who would have a heart attack if they took gemfibrozil and p; true proportion of men like those in the study who would have a heart attack if they took a placebo. P-P<0 -=-0.014<0 Pi-p<0 PI-P20 P-P1>0 Pi-P2=0 P-P-0.014 0 P-P2=0 Piproportion of men in the study who had a heart attack if they took gemfibrozil and proportion of men in the study who had a heart attack if they took a placebo. 1-20 Pi-P₂>0 PLAN: Select the 7 statements that apply. Two-sample z test for P-P2 n=2030 230

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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BFW Publishers
High levels of cholesterol in the blood are associated with a higher risk of heart attacks. Will using a drug to lower blood
cholesterol reduce heart attacks? To investigate this question, the Helsinki Heart Study recruited middle-aged men with high
cholesterol but no history of other serious medical problems. The volunteer subjects were assigned at random to one of 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 men in the placebo group had heart attacks. Do
these data give convincing evidence at the a = 0.01 significance level that gemfibrozil reduces the proportion of men like these
who have heart attacks in comparison to a placebo?
STATE:
Complete this by dragging items in the answer bank and placing them in the correct box. Leave all unused items in the answer
bank.
Parameter
Evidence for Ha
Ha
Ho
Answer Bank
P₁ = true proportion of men like those in the study who would have a heart attack if they took gemfibrozil and p = true proportion of men like those
in the study who would have a heart attack if they took a placebo.
P1-P<0
-=-0.014 <0
P-P1>0
Pi-p2≤0
Pl-P20
Pi-p2=0
P-P=-0.014 0
P-P2=0
Piproportion of men in the study who had a heart attack if they took gemfibrozil and P2 = proportion of men in the study who had a heart attack if
they took a placebo.
P1-20
P-P>0
PLAN:
Select the 7 statements that apply.
Two-sample z test for p₁ - P2
MacBook Air
n2=2030 2 30
Transcribed Image Text:BFW Publishers High levels of cholesterol in the blood are associated with a higher risk of heart attacks. Will using a drug to lower blood cholesterol reduce heart attacks? To investigate this question, the Helsinki Heart Study recruited middle-aged men with high cholesterol but no history of other serious medical problems. The volunteer subjects were assigned at random to one of 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 men in the placebo group had heart attacks. Do these data give convincing evidence at the a = 0.01 significance level that gemfibrozil reduces the proportion of men like these who have heart attacks in comparison to a placebo? STATE: Complete this by dragging items in the answer bank and placing them in the correct box. Leave all unused items in the answer bank. Parameter Evidence for Ha Ha Ho Answer Bank P₁ = true proportion of men like those in the study who would have a heart attack if they took gemfibrozil and p = true proportion of men like those in the study who would have a heart attack if they took a placebo. P1-P<0 -=-0.014 <0 P-P1>0 Pi-p2≤0 Pl-P20 Pi-p2=0 P-P=-0.014 0 P-P2=0 Piproportion of men in the study who had a heart attack if they took gemfibrozil and P2 = proportion of men in the study who had a heart attack if they took a placebo. P1-20 P-P>0 PLAN: Select the 7 statements that apply. Two-sample z test for p₁ - P2 MacBook Air n2=2030 2 30
BFW Publishers
PIAO
Pi-p20
P1 proportion of men in the study who had a heart attack if they took gemfibrozil and P2=proportion of men in the study who had a heart attack if
they took a placebo.
1-40
Pi-P>0
PLAN:
Select the 7 statements that apply.
Two-sample z test for P1 - P2
n₂ = 84 ≥ 10
n₁ = 2051 ≥ 30
(1-2) 1946 2 10
=
The data come from two random samples of adults.
n₁₁ = 56 ≥ 10
n2=2030 ≥ 30
The conditions for inference have been met.
The data come from two groups in a randomized
experiment.
Two-sample z test for Pi - P2
n (1) 1995 ≥ 10
The conditions for inference have not been met.
DO:
I
Z=>
Round your answer to 2 decimal places.
P-value=
Round your answer to 4 decimal places.
CONCLUDE:
Because the P-value is
a=0.01, we
Ho. We
have convincing
evidence that gemfibrozil reduces the proportion of men like these who have heart attacks in comparison to a placebo.
MacBook Air
Transcribed Image Text:BFW Publishers PIAO Pi-p20 P1 proportion of men in the study who had a heart attack if they took gemfibrozil and P2=proportion of men in the study who had a heart attack if they took a placebo. 1-40 Pi-P>0 PLAN: Select the 7 statements that apply. Two-sample z test for P1 - P2 n₂ = 84 ≥ 10 n₁ = 2051 ≥ 30 (1-2) 1946 2 10 = The data come from two random samples of adults. n₁₁ = 56 ≥ 10 n2=2030 ≥ 30 The conditions for inference have been met. The data come from two groups in a randomized experiment. Two-sample z test for Pi - P2 n (1) 1995 ≥ 10 The conditions for inference have not been met. DO: I Z=> Round your answer to 2 decimal places. P-value= Round your answer to 4 decimal places. CONCLUDE: Because the P-value is a=0.01, we Ho. We have convincing evidence that gemfibrozil reduces the proportion of men like these who have heart attacks in comparison to a placebo. MacBook Air
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