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Question: A margin of error is sometimes reported along with the results of a survey. An unbiased poll of 700 computer game players found that 62% favored increasing the number of levels. The margin of error was ±4%. If 20,000 players were surveyed, what is the maximum number who favored increasing the number of levels?
To find the maximum number of players who favored increasing the number of levels, we first need to calculate the percentage of players who favored it with the margin of error added. Favorable percentage with margin of error = Favorable percentage + Margin of error = 62% + 4% = 66% Now that we have the percentage with the margin of error included, we can calculate the number of players based on a population of 20,000 players. Number of players who favored increasing the number of levels = (Percentage of favorable players with margin of error) * (Total players surveyed) = 66% * 20,000 = 0.66 * 20,000 = 13,200 Thus, the maximum number of players who favored increasing the number of levels, considering the margin of error, is 13,200.
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