In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 96% confidence. At least how many people were surveyed?
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Step 1
The larger the sample size, the smaller the margin of error. The formula to calculate the sample size in a poll is: n = (Z^2 * p * (1-p)) / E^2 where: - n is the sample size - Z is the Z-score, which corresponds to the desired confidence level (for 96% Show more…
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In a poll, 69% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?" The margin of error in the poll was 3%, and the estimate was made with 95% confidence. At least how many people were surveyed?
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Statistics in the Media In May $2002,71 \%$ (0.71) of Americans favored the death penalty for a person convicted of murder. In May 2005,1005 adult Americans were asked by the Gallup Organization, "Are you in favor of the death penalty for a person convicted of murder?" Of the 1005 adults surveyed, 744 responded yes. The headline in the article reporting the survey results stated, "Americans' Views of Death Penalty More Positive This Year." Use a test of significance to support or refute this headline.
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