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
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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 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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