Answered: was shown one of the nose photos and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.2: The Law Of Cosines

Problem 3E

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Question

Can people tell the difference between a female nose and a male nose? This research question was examined in an article. Eight Caucasian males and eight Caucasian females posed for nose photos. The article states that none of the volunteers wore nose studs or had prominent nasal hair. Each person placed a black Lycra tube over his or her head in such a way that only the nose protruded through a hole in the material. Photos were then taken from three different angles: front view, three-quarter view, and profile.

These photos were shown to a sample of undergraduate students. Each student in the sample was shown one of the nose photos and asked whether it was a photo of a male or a female. The response was then classified as either correct or incorrect. The following table was constructed using summary values reported in the article.

Sex ID	View
Front	Profile	Three-Quarter
Correct	29	26	23
Incorrect	11	14	17

Is there evidence that the proportion of correct sex identifications differs for the three different nose views? Test the appropriate hypotheses using a 0.05 significance level.

Calculate the test statistic. (Round your answer to two decimal places.)

?² =

Use technology to calculate the P-value. (Round your answer to four decimal places.)

P-value =

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