A developmental psychologist developed a theory that predicted the proportion of children who would, during a period of stress, cling to the mother, attack the mother, or attack a younger sibling. The stress situation was set up, and the responses of 50 children were recorded. The appropriate $\chi$² test is a test of A) goodness of fit with 2 df, B) goodness of fit with 40 df, C) independence with 2 df D) independence with 40 df.

Question

Quizplus · Accepted Answer

The appropriate test is a goodness of fit test with 2 degrees of freedom (df), as it compares observed frequencies of children's responses to expected frequencies under the psychologist's theory across three categories (cling to the mother, attack the mother, or attack a younger sibling). The degrees of freedom are calculated as the number of categories minus one, which is 3 - 1 = 2.

A Developmental Psychologist Developed a Theory That Predicted the Proportion χ\chiχ

A Developmental Psychologist Developed a Theory That Predicted the Proportion $\chi$