Masculinizing human faces. Nature (Aug. 27, 1998) published a study of facial characteristics that are deemed attractive. In one experiment, 67 human subjects viewed side by side an image of a Caucasian male face and the same image 50% masculinized using special computer graphics. Each subject was asked to select the facial image they deemed more attractive. Fifty-eight of the 67 subjects felt that masculinization of face shape decreased attractiveness of the male face. The researchers LO9 used this sample information to test whether the subjects showed a preference for either the unaltered or the morphed male face.

a. Set up the null and alternative hypotheses for this test.

b. Compute the test statistic.

c. The researchers reported a p@value ≈ 0 for the test. Do you agree?

d. Make the appropriate conclusion in the words of the problem. Use a = .01.