[Solution] A Gallup poll of 1002 adults found that 25% of the responded said that their household had experienced a crime in the past year. Among respondents


Question: A Gallup poll of 1002 adults found that 25% of the responded said that their household had experienced a crime in the past year. Among respondents aged 18 to 29 years, 43% had been victims of a crime. Gallup says, "For results based on the total sample of national adults, one can say with 95% confidence that a margin of sampling error is \(\pm 3%\) ". Is this margin of error for adults aged 18 to 29 smaller or larger than \(\pm 3%\) ? Why?

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