Find a 90 Percent Confidence Interval for the Difference Between $\hat { p } _ { 1 }$

question 84

Essay

Find a 90 percent confidence interval for the difference between the proportions of group l and group 2.Let p₁ represent the population proportion of the people in group 1 who are in favor of new packaging,and let p₂ represent the population proportion of the people in group 2 who are in favor of new packaging. $\hat { p } _ { 1 }$
= .21, $\hat { p } _ { 2 }$
= .13,n₁ = 300,and n₂ = 400.

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Definitions:

Reality Therapist

A therapist who practices reality therapy, a form of counseling that emphasizes personal responsibility and focuses on the present and future, rather than on past events.

Conduct-disordered Adolescent

A term referring to a teenager who displays a persistent pattern of behavior that violates social norms and the rights of others, including aggressive, deceitful, or destructive behavior.

Therapeutic Relationship

The professional bond between a therapist and a client, characterized by trust, respect, and understanding, crucial for effective therapy.

Behavioral Change

The modification or transformation of human actions or reactions, often as a result of psychological interventions or life experiences.