(Answered) Question a political pollster is conducting an analysis of

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Question: A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specific candidate receives at least 55% of the vote in the sample, then that candidate will be forecast as the winner of the election. If you select a random sample of 100 voters, what is the probability that a candidate will be forecast as the winner when

a. the true percentage of her vote is 50.1%?

b. the true percentage of her vote is 60%?

c. the true percentage of her vote is 49% (and she will actually lose the election)?

d. If the sample size is increased to 400, what are your answers to (a) through (c)? Discuss.

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