Question

Complete: Chapter 8 Problem Set 3. The decision-making process A graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. She identifies the null and alternative hypotheses as: Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. Hy: The level of contrast between lip color and skin tone affects how feminine a face is considered. She chooses a significance level of .01. After she collects the data and computes the sample statistics, it is time for her to make a decision about Ho. Check the two possible decisions that the graduate student can make given her choices of Ho and Ha- 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. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered C There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. С http ://ngo engage.com/static/nb/ui/evo indech tml?deploymentld-568707221554 14633777563450174&1 CENGAGE MINDTAP Complete: Chapter 8 Problem Set What decision should the graduate student make if the test statistic is not inside the critical region? O The graduate student cannot reject the null hypothesis. O The graduate student should reject the null hypothesis. O The graduate student should reject the alternative hypothesis. Suppose that the test statistic is 3.25 and the boundary to the critical region is 2.576. The test statistic is the critical region. Therefore, the graduate student conclude that the level of contrast between lip color and skin tone affects how feminine a face is considered reject the null hypothesis, and she You may use the Distributions tool if you find it helpful. Standard Normal Distribution Mean = 0.0 Standard Deviation 1.0 5000 .2500 2500 -2 0.674 0.674

Answer 1

3. The two possible decisions would be:

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.

part 2.

If the test statistic is not inside the critical region then,

The graduate student should not reject the null hypothesis

The Test statistic is inside the critical region., Therefore the graduate student should reject the null hypothesis.

Because Test statistic is greater than the critical test statistic value