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Chi Square test

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1. A researcher is investigating the physical characteristics that influence whether a person's face is judged as beautiful. The researcher selects a photograph of a woman and then creates two modifications of the
photo by (1)moving the eyes slightly farther apart and (2) moving the eyes
slightly closer together. The original photograph and the two modifications are then shown to a sample of n=150 college students, and
each student is asked to select the "most beautiful" of the three faces.
The distribution of responses are as follows:

Original Photo Eyes Moved Apart Eyes Moved Together
51 72 27

Do the data indicate any significant preferences among the three versons of the photograph? Test at the .05 level of significance.

2. Gender differences in dream content are well documented (see Winget & Kramer, 1979). Suppose a researcher studies aggression content in the dreams of men and women. Each participant reports his or her most recent dream. Then each dream is judged by a panel of experts to have low, medium or high aggression content. The observed frequencies are shown in
the following matrix:
Aggression Content

Gender Low Medium High
Female 18 4 2
Male 4 17 15

Is there a relationship between gender and the aggression content of dreams? Test with α=.01.

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Solution Summary

Step by step method for testing the hypothesis under 5 step approach is discussed here. Excel template for each problem is also included. This template can be used to obtain the answers of similar problems.