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Just before a city referendum on a school budget, a local newspaper polls 490 voters in an attempt to predict whether the budget will pass.

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Just before a city referendum on a school budget, a local newspaper polls 490 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the budget actually has the support of 56% of the voters. Question. What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportion 13 less than 0.50 in favor of the referendum? C] (calculate the standard deviation off) to 4 decimal places, round your nal answer to 4 decimal places). The National Center for Education Statistics reports that the proportion of college freshmen who return to the same school for their sophomore year is 0.75. Suppose we select a random sample of 44 freshmen from across the nation. Question 1. What is the expected value of the sampling distribution model for the proportion of 440 freshmen that will return to the same school for their sophomore year? w Question 2. What is the standard deviation of the sampling distribution model for the proportion of 440 freshmen that will return to the same school for their sophomore year? 0021 \\7 (Round to 3 decimal places) Question 3. What is the probability that the proportion of these 440 freshmen that return to the same school for their sophomore year is less than 0.75? E] X (Round to 4 decimal places)

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