2. Each individual in a random sample of 1349 high school and college students (from a research report) was cross-classified with respect to both political views and marijuana usage, resulting in the data displayed in the accompanying two- way table. (a) Given that a randomly selected student never used marijuana, what is the probability that he/she is a conservative? (b) What is the probability that a randomly selected student frequently uses marijuana or he/she is a liberal. (c) Computing conditional probabilities within each column, does the data sup- port the hypothesis that political views and marijuana usage level are indepen- dent within the population? Usage Level Political Views Never Rarely Liberal 479 173 Conservative 214 47 Other 172 45 Frequently 119 15 85

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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2. Each individual in a random sample of 1349 high school and college students
(from a research report) was cross-classified with respect to both political views
and marijuana usage, resulting in the data displayed in the accompanying two-
way table.
(a) Given that a randomly selected student never used marijuana, what is the
probability that he/she is a conservative?
(b) What is the probability that a randomly selected student frequently uses
marijuana or he/she is a liberal.
(c) Computing conditional probabilities within each column, does the data sup-
port the hypothesis that political views and marijuana usage level are indepen-
dent within the population?
Usage Level
Political Views Never Rarely
Liberal
479
173
Conservative
214
47
Other
172
45
Frequently
119
15
85
Transcribed Image Text:Page 2 2. Each individual in a random sample of 1349 high school and college students (from a research report) was cross-classified with respect to both political views and marijuana usage, resulting in the data displayed in the accompanying two- way table. (a) Given that a randomly selected student never used marijuana, what is the probability that he/she is a conservative? (b) What is the probability that a randomly selected student frequently uses marijuana or he/she is a liberal. (c) Computing conditional probabilities within each column, does the data sup- port the hypothesis that political views and marijuana usage level are indepen- dent within the population? Usage Level Political Views Never Rarely Liberal 479 173 Conservative 214 47 Other 172 45 Frequently 119 15 85
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