A4. In an opinion poll, a sample of 100 people from a large town were asked which candidate they would vote for in a forthcoming national election with the following results: Candidate A B C Supporters 32 47 21 (a) Determine the approximate probability that candidate B will get more than 50% of the vote in a different sample of the same size. A second opinion poll of 150 people was conducted in a different town with the following results: Candidate A B C Supporters 57 56 37 (b) Use an appropriate test to decide whether the two towns have significantly different voting intentions.
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In the first sample, candidate B received 47 out of 100 votes, so the sample proportion is 0.47. If we assume that this proportion is representative of the population, then in a sample of 100 people, the number of votes for candidate B can be modeled as a binomial Show more…
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