A Poll Investigating the Level of Public Support for Proposed $\pm 5 \%$

question 101

Essay

A poll investigating the level of public support for proposed gun control legislation reported that 68% of the respondents were in favor. The pollsters reported a sampling error of $\pm 5 \%$ %. When the responses were broken down by gender, support was 3% higher among women than men. The pollsters said the margin of error for this difference was $\pm$ 6%. Why is the margin of error larger for the difference in support between the genders than for the overall level of support?

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Definitions:

Priest

A religious leader authorized to perform the sacred rituals of a religion, often acting as an intermediary between humans and one or more deities.

Shaman

A person regarded as having access to, and influence in, the world of good and evil spirits, often within indigenous and tribal societies, performing healings and rituals.

Differences

The state or condition of not being the same; variations between entities in characteristics, qualities, or properties.

Worldview

The fundamental cognitive orientation of an individual or society encompassing the entirety of their knowledge and point of view.