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Question: An airline company needs to cut costs. It polls passengers to find out which of two services they could eliminate to lower the cost of tickets. 56% of passengers said they could do without complementary drinks. 44% of passengers said they could do without in-flight movies. The margin of error for the poll was ±7%. Does the poll clearly predict the outcome of the voting?
The poll does not clearly predict the outcome of the voting due to the margin of error. Since the margin of error is ±7%, the results could vary by that percentage in either direction. For complementary drinks, the range of possible outcomes would be between 49% (56% - 7%) and 63% (56% + 7%). For in-flight movies, the range would be between 37% (44% - 7%) and 51% (44% + 7%). As the possible ranges overlap (49%-51%), the poll does not provide a clear prediction on which service passengers would prefer to eliminate. It would be recommended to conduct a larger or more accurate poll to reduce the margin of error and possibly obtain a clearer result.
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