Pigmented makeup products like mascara and eye shadow may contain metal​ (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or​ mascara? In a sample of 123 women with cosmetic dermatitis from using eye​ shadow, 12 were diagnosed with a nickel allergy. In a sample of 261 women with cosmetic dermatitis from using​ mascara, 27 were diagnosed with a nickel allergy. Use this information to complete parts a through c below. a. Compute a 95​% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy. b. Compute a 95​% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy. c. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups​ (eye shadow or​mascara) is 0.15. Can you determine which group is​referenced?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Pigmented makeup products like mascara and eye shadow may contain metal​ (e.g., nickel) allergens. Is a nickel allergy more likely to occur in women who report cosmetic dermatitis from using eye shadow or​ mascara? In a sample of 123 women with cosmetic dermatitis from using eye​ shadow, 12 were diagnosed with a nickel allergy. In a sample of 261 women with cosmetic dermatitis from using​ mascara, 27 were diagnosed with a nickel allergy. Use this information to complete parts a through c below.

a. Compute a 95​% confidence interval for the proportion of women with cosmetic dermatitis from using eye shadow who have a nickel allergy.

b. Compute a 95​% confidence interval for the proportion of women with cosmetic dermatitis from using mascara who have a nickel allergy.

c. Suppose you are informed that the true proportion with a nickel allergy for one of the two groups​ (eye shadow or​mascara) is 0.15. Can you determine which group is​referenced?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman