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# Chi-Square test in SPSS

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 created 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 was as follows:

Original Photo Eyes moved Apart Eyes moved Together
51 72 27

Do the data indicated any significant preferences among the three versions of the photograph? Test at the .05 level of Significance.

All steps are supposed to be done in hypothesis testing and SPSS only.
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Recent reports suggest that children who grow up with pets in the home tend to develop resistance to allergies. To test this phenomenon, a researcher interviews a sample of n=120 college students. Each student is asked about pets during childhood and about his or her current allergies.

0 1 2 or more
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No Allergies 22 50 18 90
______________________________________________
Allergies 18 10 2 30
______________________________________________
40 60 20

a. Do the data indicate a significant relationship between having pets and developing resistance to allergies? Test at the .05 level of significance.
b. Compute Cramer's V to measure the effect size.

Steps are supposed to be done in hypothesis testing and in SPSS only.

#### Solution Preview

Stat Question:
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 created 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 was as follows:

Original Photo Eyes moved Apart Eyes moved Together
51 72 27

Do the data indicated any significant preferences among the three versions of the photograph? Test at the .05 level of Significance.

All steps are supposed to be done in hypothesis testing and SPSS only.