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As Children Grow They Develop What Is Known as "Representational

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As children grow they develop what is known as "representational insight," a connection between an object and a symbol for that object. A random sample of youngsters 24-months old were shown a video of someone putting a toy under 1 of 4 randomly placed boxes in a room familiar to the child. They were then taken to the room, and asked to "find the toy." The investigators reasoned that a child with representational insight should pick the correct box on the first try. If the children were to overturn the boxes randomly, they would find the toy on the first turn 25% of the time. Thirty children out of 57 subjects found the toy by turning over the correct box on the first try.

Does this sample provide sufficient evidence that the proportion of 24-month old children who choose the correct box on the first try is greater than 0.25? Use a significance level of α = 0.05 to test the appropriate hypothesis.

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Definitions:

Openness To Experience

A personality trait involving the willingness to try new things, engage in abstract thinking, and appreciate art and beauty.

Politically Liberal

Holding or expressing political views that favor progress, reform, and the protection of civil liberties.

Conscientiousness

An attribute showcasing an individual's knack for structural orderliness, dependability, and unwavering commitment to responsibilities.

Antisocial Behaviors

Actions that violate social norms and are harmful to society, often resulting in negative consequences for the individual and those around them.

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