Question 3: The question concerns polling in the context of a constitutional referendum, in particular the proposed indigenous voice referendum of 2023. (i) A poll was conducted on the 29th of May 2023 of all Australians. It said that overall, a proportion of 0.563 said they would vote yes. The sample size was 1742 people. Calculate the 99% confidence interval of the chance of a yes vote. (ii) Please explain any practical limitations in respect of the result you just calculated. (iii) There is a tendency for polls in constitutional referendums to overestimate the yes-vote. The probability distribution for this is given below. Showing your working (and given the information in Part (i)), please calculate the chance that there will be a 'no' vote as an outcome. Overestmation (%) Probability 812345 0 Overestmation (%) Probability 0.2000 0.0500 0.2000 0.1000 0.0500 67899 0.1000 0.0500 0.2000 0 0.0500 0 10

Question 3: The question concerns polling in the context of a constitutional referendum, in particular the proposed indigenous voice referendum of 2023. (i) A poll was conducted on the 29th of May 2023 of all Australians. It said that overall, a proportion of 0.563 said they would vote yes. The sample size was 1742 people. Calculate the 99% confidence interval of the chance of a yes vote. (ii) Please explain any practical limitations in respect of the result you just calculated. (iii) There is a tendency for polls in constitutional referendums to overestimate the yes-vote. The probability distribution for this is given below. Showing your working (and given the information in Part (i)), please calculate the chance that there will be a 'no' vote as an outcome. Overestmation (%) Probability 812345 0 Overestmation (%) Probability 0.2000 0.0500 0.2000 0.1000 0.0500 67899 0.1000 0.0500 0.2000 0 0.0500 0 10

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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