Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Acne is a common skin disease that affects most adolescents and
can continue into adulthood. A study compared the effectiveness
of three acne treatments and a placebo, all in gel form, applied
twice daily for 12 weeks. The study's 517 teenage volunteers
were randomly assigned to one of the four treatments. Success
was assessed as clear or almost clear skin at the end of the 12
week period. The results of the study can be seen in the table
below. Using the appropriate statistical test, determine if there is
significant evidence that the four treatments perform differently.
If so, how do they compare.
Transcribed Image Text:Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
Treatment 1: Treatment 2:
Adapalene
19
130
Epiduo
Success 30
Failure 117
Treatment 3: Placebo
Benzoyl peroxide
19
4
131
67
Transcribed Image Text:Treatment 1: Treatment 2: Adapalene 19 130 Epiduo Success 30 Failure 117 Treatment 3: Placebo Benzoyl peroxide 19 4 131 67
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