Question

more grntuote student be%em that people oorsider faces with mtre cortrast between te coer Bnd 'kin tone emnine. She color t: The even of contrast between e of.05. After she coects the dats and computes the sample stuestrs, t a time for She chootes a signficance eel of.05. Ater she coets an Check the twe possible decwons that the greduate student can make gven her choces of □ There m na. enough evidence to repert the hypothet" that the cow3st betw".pcow OThe grad.abe shrtent sthould reject the

Answer 1

1. The two possible decisions that the graduate student can make given her choices of Ho and H1 are :

The null and alternative hypothesis are :

Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered.

H1: The level of contrast between lip color and skin tone affects how feminine a face is considered.

In accordance to Ho the two decision are

• There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered.
• There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered.

2. If the test statistic is not inside the critical region than null hypothesis is accepted and the decision will be :

• The graduate student cannot reject the null hypothesis

3. If the absolute value of the calculated statistics has a value equal to or greater than the critical value, then the null hypotheses, H0 will be rejected and the alternate hypotheses, H1, is assumed to be correct.

In this context test statistic > critical region boundary

The test statistic is in the critical region. Therefore, the graduate student can reject the null hypothesis, and she can conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered.