Hypothesis Testing on Physical Characteristics
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A researcher is investigating the physical characteristics that influence whether a person's face is judge as beautiful. The researcher selects a photograph of a woman and modification 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 shown to a sample of n = 150 college students and each student, and each student is asked to select the most beautifulof the three faces. The distribution of the responses was as follows:
Original Eyes Moved Apart Eyes Moved Together Photo
51 72 27
Do the data indicate any significant preferences among the three versions of the photographs? Test at the 0.5 level of significance.
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Solution Summary
This solution provides a null and alternative hypothesis and applies a chi-square test. The test statistic is then compared to the p-value and a decision is made to accept or reject the null hypothesis concerning the physical characteristics that influence the characterization of beauty.
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