Maths-
SAT
Easy
Question
A polling agency wanted to test whether a ballot measure would pass with greater than 50% yes votes. The agency sampled 1,000 registered voters selected at random, and 50.6% of the voters favoured the ballot measure. The margin of error associated with this poll was ±3%. Based on the poll's results, which of the following statements must be true?
- The percentage of voters who will vote yes for the ballot measure is 50.6%.
- The ballot measure will pass with more yes votes than no votes, but the percentage of votes it will receive cannot be predicted.
- The ballot measure will pass with at least 53.6% of the vote.
- The poll's results do not provide sufficient evidence to conclude that the ballot measure will pass.
The correct answer is: The poll's results do not provide sufficient evidence to conclude that the ballot measure will pass.
The agency sampled 1,000 registered voters selected at random, and 50.6% of the voters favoured the ballot measure, The margin of error associated with this poll was ±3%.
Case:1) If the margin of error associated with this poll was +3%, then the ballot voter is 53.6%
Case: 2) If the margin of error associated with this poll was -3%, then the ballot voter is 47.6%, which is lesser than the 50%.
From Case 1 and case 2 we can conclude that the poll's results do not provide sufficient evidence to conclude that the ballot measure will pass.
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