A Random Sample of N₁=20 Individuals Results in X₁=8

question 94

Essay

A random sample of n₁=20 individuals results in x₁=8 successes. An independent sample of n₂=60 individuals results in x₂=18 successes. Does this represent sufficient evidence to conclude that $\mathrm { p } _ { 1 } \neq \mathrm { p } _ { 2 }$ at the $\alpha$
=0.05 level of significance?

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Definitions:

Bulimia Nervosa

An eating disorder characterized by cycles of binge eating and purging as a means of controlling weight gain.

Post-Traumatic Stress Disorder

A mental health condition triggered by experiencing or witnessing a terrifying event, characterized by flashbacks, nightmares, and severe anxiety.

Separation Anxiety Disorder

A psychological condition in which an individual experiences excessive fear or anxiety about being separated from those to whom the individual has a strong emotional attachment.

Middle Childhood

Middle childhood encompasses the age period from roughly 6 to 12 years, where children undergo significant physical, cognitive, and socio-emotional developments.