Let 0 denote the probability that a randomly sampled individual in some population voted Conservative in the last General Election. In a particular type of 'randomised response' experiment, each of a random sample of individuals from this population responds 'True' or 'False' to one of the following two statements. (a) I voted Conservative at the last General Election. (b) I did not vote Conservative at the last General Election. A randomising device is used to ensure that the probabilities of responding to (a) and (b) are p and 1-p respectively, where p is known and 0

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
icon
Related questions
Question
Help please
Let 0 denote the probability that a randomly sampled individual in some population voted
Conservative in the last General Election. In a particular type of 'randomised response'
experiment, each of a random sample of individuals from this population responds 'True' or
'False' to one of the following two statements.
(a) I voted Conservative at the last General Election.
(b) I did not vote Conservative at the last General Election.
A randomising device is used to ensure that the probabilities of responding to (a) and (b) are p
and 1-p respectively, where p is known and 0<p<1. If A is the probability that an
individual responds 'True', write down an expression for λ in terms of p and 0.
For a group of mathematics teachers attending a statistics course, 24 out of 43 responded
'True' in an experiment in which p was fixed at 0.3. Use these figures to estimate 9.
Transcribed Image Text:Let 0 denote the probability that a randomly sampled individual in some population voted Conservative in the last General Election. In a particular type of 'randomised response' experiment, each of a random sample of individuals from this population responds 'True' or 'False' to one of the following two statements. (a) I voted Conservative at the last General Election. (b) I did not vote Conservative at the last General Election. A randomising device is used to ensure that the probabilities of responding to (a) and (b) are p and 1-p respectively, where p is known and 0<p<1. If A is the probability that an individual responds 'True', write down an expression for λ in terms of p and 0. For a group of mathematics teachers attending a statistics course, 24 out of 43 responded 'True' in an experiment in which p was fixed at 0.3. Use these figures to estimate 9.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning