Children Develop "Representational Insight," a Connection Between an Object and a Symbol

question 28

Essay

Children develop "representational insight," a connection between an object and a symbol for that object. A random sample of 2-year olds were shown a video of someone putting a toy under 1 of 4 randomly placed boxes in a room familiar to the child. Then they were taken to the room, and asked to "find the toy." The investigators reasoned that a child with representational insight would pick the correct box on the first try. If not, they would find the toy on the first try only $25 \%$ of the time. Thirty out of 57 children found the toy by turning over the correct box on the first try.
Do these results provide convincing evidence that the proportion of 2-year old children who choose the correct box on the first try is greater than $0.25$ ? Use a significance level of $\alpha = .05$ to test the appropriate hypotheses.

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Definitions:

Proponents

Individuals or groups who support or advocate for a particular idea, practice, or policy.

Mental Illness

A broad range of conditions that affect mood, thinking, and behavior, often diagnosed according to standardized criteria.

Fully Functioning Member

An individual who is living in alignment with their true self, experiencing an ongoing process of growth and self-improvement.

Antisocial Personality Disorder

A mental health disorder characterized by a long-term pattern of disregarding or violating the rights of others.