A Sample Statistic and Margin of Error Are Given $4 \%$

question 131

Multiple Choice

A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question.
-In a survey conducted in a certain city it was found that 4.6% of men and 5.4% of women were unemployed. The margin of error for each report was 0.6 percentage points. Use each sample Statistic to find a confidence interval. Can we conclude that the unemployment rate is higher Amongst women than amongst men?

• A) men: \(4 \%\) to \(4.6 \%\)
• women: \(5.4 \%\) to \(6 \%\)
• yes
• B) men: \(4.3 \%\) to \(4.9 \%\)
• Women: \(5.1 \%\) to \(5.7 \%\)
• yes
• C) men: \(4.6 \%\) to \(5.2 \%\)
• women: \(4.8 \%\) to \(5.4 \%\)
• no
• D) men: \(4 \%\) to \(5.2 \%\)
• women: \(4.8 \%\) to \(6 \%\)
• no

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Definitions:

Family Reunification

A policy or process that allows immigrants to bring their immediate family members to their country of residence.

Legal Immigrants

Individuals who have been granted the right to live permanently in a country, following the legal requirements of immigration laws.

Family-Sponsored Immigrants

Individuals who are allowed to immigrate to a country based on family ties, including spouses, children, and other close relatives of citizens or legal residents.

Human Capital

The collective skills, knowledge, or other intangible assets of individuals that can be used to create economic value.