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:

IV Pumps

Electronic devices that deliver fluids, such as medications and nutrients, into a patient's body in controlled amounts.

Medication-Dispensing Device

A machine or tool designed to accurately dispense prescribed drugs to patients.

Nasogastric Tube

A medical device inserted through the nose into the stomach to deliver food and medicine, or to remove substances from the stomach.

Hospitalized Patient

A patient who has been admitted to a hospital for treatment and observation.