To get answers to sensitive questions, we sometimesuse a method called the randomized response technique.Suppose, for instance, that we want to determine whatpercentage of the students at a large university smokemarijuana. We construct 20 flash cards, write “I smokemarijuana at least once a week” on 12 of the cards, where12 is an arbitrary choice, and “I do not smoke marijuana at least once a week” on the others. Then, we let each stu-dent (in the sample interviewed) select one of the 20 cards at random and respond “yes” or “no” without divulgingthe question. (a) Establish a relationship between P(Y), the probabil-ity that a student will give a “yes” response, and P(M), the probability that a student randomly selected at thatuniversity smokes marijuana at least once a week. (b) If 106 of 250 students answered “yes” under theseconditions, use the result of part (a) and 106 250 as an esti-mate of P(Y) to estimate P(M).
To get answers to sensitive questions, we sometimesuse a method called the randomized response technique.Suppose, for instance, that we want to determine whatpercentage of the students at a large university smokemarijuana. We construct 20 flash cards, write “I smokemarijuana at least once a week” on 12 of the cards, where12 is an arbitrary choice, and “I do not smoke marijuana at least once a week” on the others. Then, we let each stu-dent (in the sample interviewed) select one of the 20 cards at random and respond “yes” or “no” without divulgingthe question. (a) Establish a relationship between P(Y), the probabil-ity that a student will give a “yes” response, and P(M), the probability that a student randomly selected at thatuniversity smokes marijuana at least once a week. (b) If 106 of 250 students answered “yes” under theseconditions, use the result of part (a) and 106 250 as an esti-mate of P(Y) to estimate P(M).
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
To get answers to sensitive questions, we sometimes
use a method called the randomized response technique.
Suppose, for instance, that we want to determine what
percentage of the students at a large university smoke
marijuana. We construct 20 flash cards, write “I smoke
marijuana at least once a week” on 12 of the cards, where
12 is an arbitrary choice, and “I do not smoke marijuana
use a method called the randomized response technique.
Suppose, for instance, that we want to determine what
percentage of the students at a large university smoke
marijuana. We construct 20 flash cards, write “I smoke
marijuana at least once a week” on 12 of the cards, where
12 is an arbitrary choice, and “I do not smoke marijuana
at least once a week” on the others. Then, we let each stu-
dent (in the sample interviewed) select one of the 20 cards
dent (in the sample interviewed) select one of the 20 cards
at random and respond “yes” or “no” without divulging
the question.
the question.
(a) Establish a relationship between P(Y), the probabil-
ity that a student will give a “yes” response, and P(M),
ity that a student will give a “yes” response, and P(M),
the probability that a student randomly selected at that
university smokes marijuana at least once a week.
university smokes marijuana at least once a week.
(b) If 106 of 250 students answered “yes” under these
conditions, use the result of part (a) and 106
conditions, use the result of part (a) and 106
250 as an esti-
mate of P(Y) to estimate P(M).
mate of P(Y) to estimate P(M).
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