In a study of perception, 138 men are tested and 16 are found to have red/green color blindness. (a) Find a 90% confidence interval for the true proportion of men from the sampled population that have this type of color blindness. (b) Using the results from the above mentioned survey, how many men should be sampled to estimate the true proportion of men with this type of color blindness to within 4% with 99% confidence? (c) If no previous estimate of the sample proportion is available, how large of a sample should be used in (b)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
icon
Related questions
Question
In a study of perception, 138 men are tested and 16 are found to have red/green color blindness.
(a) Find a 90% confidence interval for the true proportion of men from the sampled population that have this type
of color blindness.
(b) Using the results from the above mentioned survey, how many men should be sampled to estimate the true
proportion of men with this type of color blindness to within 4% with 99% confidence?
(c) If no previous estimate of the sample proportion is available, how large of a sample should be used in (b)?
Transcribed Image Text:In a study of perception, 138 men are tested and 16 are found to have red/green color blindness. (a) Find a 90% confidence interval for the true proportion of men from the sampled population that have this type of color blindness. (b) Using the results from the above mentioned survey, how many men should be sampled to estimate the true proportion of men with this type of color blindness to within 4% with 99% confidence? (c) If no previous estimate of the sample proportion is available, how large of a sample should be used in (b)?
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax