A Sample Statistic and Margin of Error Are Given $15 \%$

question 60

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.
-Ten years ago, according to government records, 17% of the population of Elmwood had no health insurance. This year a poll revealed that 20.6% were without insurance. The margin of error was 2.8 percentage points. Find a confidence interval for the true percentage without insurance this Year. Can we conclude that the percentage without insurance has increased from ten years ago?

• A) \(15 \%\) to \(20.6 \%\); no
• B) \(20.6 \%\) to \(23.4 \%\); yes
• C) \(19.2 \%\) to \(22 \%\); yes
• D) \(17.8 \%\) to \(23.4 \%\); yes

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Definitions:

Prevalent

Commonly occurring or widely accepted in a particular time or place.

Mental Disorder

A broad range of conditions that affect mood, thinking, and behavior, often impacting daily functioning and well-being.

Mood Disorder

A category of psychiatric conditions characterized by a disturbance in a person's mood, leading to periods of depression or abnormally elevated mood.

Psychotherapy

A therapeutic treatment involving psychological methods, applied to individual, group, or family contexts to address mental health issues and emotional disorders.