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Feminized faces in TV commercials. Television commercials
Chapter 7, Problem 140SE(choose chapter or problem)
Feminized faces in TV commercials. Television commercials most often employ females or “feminized” males to pitch a company’s product. Research published in Nature (Aug. 27, 1998) revealed that people are, in fact, more attracted to “feminized” faces, regardless of gender. In one experiment, 50 human subjects viewed both a Japanese female face and a Caucasian male face on a computer. Using special computer graphics, each subject could morph the faces (by making them more feminine or more masculine) until they attained the “most attractive” face. The level of feminization x (measured as a percentage) was measured.
a. For the Japanese female face, \(\bar{x}\ =\ 10.2%\) and s = 31.3,. The researchers used this sample information to test the null hypothesis of a mean level of feminization equal to 0%. Verify that the test statistic is equal to 2.3.
b. Refer to part a. The researchers reported the p-value of the test as p = .021. Verify and interpret this result.
c. For the Caucasian male face, \(\bar{x}\ =\ 15.0%\) and s = 25.1%. The researchers reported the test statistic (for the test of the null hypothesis stated in part a) as 4.23 with an associated p-value of approximately 0. Verify and interpret these results.
Questions & Answers
QUESTION:
Feminized faces in TV commercials. Television commercials most often employ females or “feminized” males to pitch a company’s product. Research published in Nature (Aug. 27, 1998) revealed that people are, in fact, more attracted to “feminized” faces, regardless of gender. In one experiment, 50 human subjects viewed both a Japanese female face and a Caucasian male face on a computer. Using special computer graphics, each subject could morph the faces (by making them more feminine or more masculine) until they attained the “most attractive” face. The level of feminization x (measured as a percentage) was measured.
a. For the Japanese female face, \(\bar{x}\ =\ 10.2%\) and s = 31.3,. The researchers used this sample information to test the null hypothesis of a mean level of feminization equal to 0%. Verify that the test statistic is equal to 2.3.
b. Refer to part a. The researchers reported the p-value of the test as p = .021. Verify and interpret this result.
c. For the Caucasian male face, \(\bar{x}\ =\ 15.0%\) and s = 25.1%. The researchers reported the test statistic (for the test of the null hypothesis stated in part a) as 4.23 with an associated p-value of approximately 0. Verify and interpret these results.
ANSWER:Answer
Step 1 of 3
(a)
In one experiment, 50 human subjects viewed both a Japanese female face and a Caucasian male face on a computer.
For the Japanese female face, and
The researchers used this sample information to test the null hypothesis of a mean level of feminization equal to
Verify that the test statistic is equal to
Hence the test statistic for hypothesis tests about a population mean when is known,
We know
Hence the test statistic is equal to