A study was performed to test the effectiveness of aspirin in the treatment of strokes. There were 155 patients in the study. A random sample of 78 of these patients were placed in the “aspirin” group, and the remaining 77 in the “control” group. After six months of treatment, all the patients were evaluated and their condition recorded as either favorable or unfavorable. Of the 78 “aspirin” patients, 63 had favorable outcomes; of the 77 “control” patients, 43 had favorable outcomes. We want to test the null hypothesis that the percentage of favorable outcomes is the same between the two conditions. (a) Write down the box model for the null hypothesis as a sentence or picture of the box. (b) Under the null hypothesis, the difference in the sample percentages is expected to be ________%, and the standard error for the difference is ________%. (c) Calculate the appropriate two-sample z test statistic. (d) Calculate the p-value and express what it means in plain words. (e) Do you reject the null hypothesis? State your conclusion in the context of the original problem.
A study was performed to test the effectiveness of aspirin in the treatment of strokes. There were 155 patients in the study. A random sample of 78 of these patients were placed in the “aspirin” group, and the remaining 77 in the “control” group. After six months of treatment, all the patients were evaluated and their condition recorded as either favorable or unfavorable. Of the 78 “aspirin” patients, 63 had favorable outcomes; of the 77 “control” patients, 43 had favorable outcomes. We want to test the null hypothesis that the percentage of favorable outcomes is the same between the two conditions. (a) Write down the box model for the null hypothesis as a sentence or picture of the box. (b) Under the null hypothesis, the difference in the sample percentages is expected to be ________%, and the standard error for the difference is ________%. (c) Calculate the appropriate two-sample z test statistic. (d) Calculate the p-value and express what it means in plain words. (e) Do you reject the null hypothesis? State your conclusion in the context of the original problem.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
A study was performed to test the effectiveness of aspirin in the treatment of
strokes. There were 155 patients in the study. A random sample of 78 of these
patients were placed in the “aspirin” group, and the remaining 77 in the “control”
group. After six months of treatment, all the patients were evaluated and their
condition recorded as either favorable or unfavorable. Of the 78 “aspirin” patients,
63 had favorable outcomes; of the 77 “control” patients, 43 had favorable
outcomes. We want to test the null hypothesis that the percentage of favorable
outcomes is the same between the two conditions.
(a) Write down the box model for the null hypothesis as a sentence or picture of the
box.
strokes. There were 155 patients in the study. A random sample of 78 of these
patients were placed in the “aspirin” group, and the remaining 77 in the “control”
group. After six months of treatment, all the patients were evaluated and their
condition recorded as either favorable or unfavorable. Of the 78 “aspirin” patients,
63 had favorable outcomes; of the 77 “control” patients, 43 had favorable
outcomes. We want to test the null hypothesis that the percentage of favorable
outcomes is the same between the two conditions.
(a) Write down the box model for the null hypothesis as a sentence or picture of the
box.
(b) Under the null hypothesis, the difference in the sample percentages is expected
to be ________%, and the standard error for the difference is ________%.
(c) Calculate the appropriate two-sample z test statistic.
(d) Calculate the p-value and express what it means in plain words.
(e) Do you reject the null hypothesis? State your conclusion in the context of the
original problem.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning