Refer to the Nature (Aug. 27, 1998) study of facial characteristics that are deemed attractive, Exercise 6.35

(p. 318). In another experiment, 67 human subjects viewed side-by-side an image of a Caucasian male face and the same image 50% masculinized. Each subject was asked to select the facial image that they deemed more attractive. Fifty-eight of the 67 subjects felt that masculinization of face shape decreased attractiveness of the male face. The researchers used this sample information to test whether the subjects showed preference for either the unaltered or morphed male face.

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

b. Compute the test statistic.

c. The researchers reported p-value .= 0 for the test.

Do you agree?

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