Poll ResultsAngel Cruz 483Terry Smith 320The table shows the results of a poll. A total of803 voters selected at random were asked whichcandidate they would vote for in the upcomingelection. According to the poll, if 6,424 people vote inthe election, by how many votes would Angel Cruzbe expected to win?A) 163B) 1,304C) 3,864D) 5,621
Question
Poll ResultsAngel Cruz 483Terry Smith 320The table shows the results of a poll. A total of803 voters selected at random were asked whichcandidate they would vote for in the upcomingelection. According to the poll, if 6,424 people vote inthe election, by how many votes would Angel Cruzbe expected to win?A) 163B) 1,304C) 3,864D) 5,621
Solution
To solve this problem, we first need to determine the proportion of voters who prefer each candidate based on the poll results.
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Calculate the proportion of voters who prefer Angel Cruz: Angel Cruz received 483 votes out of 803 total votes. So, the proportion is 483/803 = 0.6015 (approximately).
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Calculate the proportion of voters who prefer Terry Smith: Terry Smith received 320 votes out of 803 total votes. So, the proportion is 320/803 = 0.3985 (approximately).
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Now, we need to apply these proportions to the total number of people expected to vote in the election, which is 6,424.
Expected votes for Angel Cruz = 0.6015 * 6,424 = 3864 (approximately) Expected votes for Terry Smith = 0.3985 * 6,424 = 2560 (approximately)
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To find out by how many votes Angel Cruz would be expected to win, we subtract the expected votes for Terry Smith from the expected votes for Angel Cruz.
Expected winning margin for Angel Cruz = 3864 - 2560 = 1304 votes
So, according to the poll, Angel Cruz would be expected to win by 1304 votes. Therefore, the answer is B) 1,304.
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