9. A random sample of 135 people yielded the following contingency table describing the relationship between migraine headaches and caffeine consumption (low, medium, high). Caffeine Consumption Low Med. High Migraine 5 8 15 No Migraine 35 42 30 Suppose we wish to test H0 : caffeine and migraines are independent versus Ha : caffeine and migraines are not independent at the α = 0.05 significance level. What is the value of the test statistic and p−value?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Topic Video
Question

9. A random sample of 135 people yielded the following contingency table describing the relationship between migraine headaches and caffeine consumption (low, medium, high). Caffeine Consumption Low Med. High Migraine 5 8 15 No Migraine 35 42 30 Suppose we wish to test H0 : caffeine and migraines are independent versus Ha : caffeine and migraines are not independent at the α = 0.05 significance level. What is the value of the test statistic and p−value? 

10. In reference to question (9), which of the following is/are true?

(A) There is not a significant association between caffeine and migraines (B) The test statistic does not fall in the rejection region

(C) The critical value is equal to 7.38

D) The expected counts eij are computed assuming caffeine and migraines are independent

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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.
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL