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:

Divergent Thinking

Thinking that produces many answers to the same question; characteristic of creativity.

Convergent Thinking

A cognitive process where a problem is solved by applying known rules and logic to narrow down to a single solution.

Novel

New or original, especially in relation to stories, inventions, or ideas not previously seen or experienced.

Brain Imagery

The use of various medical imaging techniques to visualize the structure and function of the brain for diagnosis and treatment planning.