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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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Statistics and probability
The randomised response experiment 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 and0<p<1. If à is the probability that an individual responds 'True', write down an expression for A 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 0.
Transcribed Image Text:The randomised response experiment 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 and0<p<1. If à is the probability that an individual responds 'True', write down an expression for A 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 0.
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