Use the Following Information to Answer the Question

question 19

Essay

Use the following information to answer the question. Math self- efficacy can be defined as one's belief in his or her own ability to perform mathematical tasks. A college math professor wishes to find out if her male students' math self- efficacy matches reality. To do this she gives a math quiz to the male students then asks them to rate their level of confidence in how well they did on the quiz. She plans to test whether those who had little confidence that they did well on the quiz actually performed worse than those who had a high level of confidence that they did well on the quiz. Shown below is the approximate sampling distribution of the difference in mean quiz scores. The table below shows the summary statistics for the two groups. Assume that all conditions for a randomization test have been satisfied.

-Complete the randomization test by stating the proper decision regarding the null hypothesis and the professor's conclusion. Are differences in mean quiz scores due to chance?

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Definitions:

Social Skills

A set of skills for adaptive and positive behavior that enable individuals to interact effectively and harmoniously with others in social settings.

Three Mountain Task

A cognitive test developed by Jean Piaget to assess a child's ability to see things from other perspectives, testing their egocentrism.

Egocentrism

A cognitive trait where an individual is unable to understand or assume any perspective other than their own, often seen in early childhood development.

Piaget

Refers to Jean Piaget, a Swiss psychologist known for his pioneering work in developmental psychology and his theory of cognitive development in children.