Can people tell the difference between a female nose and a m

Can people tell the difference between a female nose and a male nose? 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; and the response was classified as either correct or incorrect. The accompanying table was constructed using summary values reported in the article. Is there evidence that the proportion of correct sex identifications differs for the three different nose views? Test the appropriate hypotheses using a .05 significance level. (Use 2 decimal places.)

² =  
P-value interval

p < 0.0010.001 p < 0.01    0.01 p < 0.050.05 p < 0.10p 0.10

The data  ---Select--- support do not support the hypothesis that the proportions of correct sex identifications differ for the three different nose views.

Solution

H0 : people can differentiate between female and male noses( i.e, he proportion of correct sex identifications is same for all 3 types of angles)  ag. H1 : can\'t diffrentiate..
E_r,c = (n_r * n_c) / n
r= row , c= column
E_1,1 = 26.33 , E_1,2 = 26.33 , E_1,3 = 26.33, E_2,1 = 13.67 , E_2,2 = 13.67 , E_2,3 = 13.67..

test statistic : ² = [ (O_r,c - E_r,c)² / E_r,c ] = 1.4078...
The p-value is 0.494642. ..
p-value interval = p 0.10...so, null hypothesis is true!

The data do not support the hypothesis that the proportions of correct sex identifications differ for the three different nose views..