A graduate student believes that people consider faces with more contrast betwee
ID: 3173687 • Letter: A
Question
A graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. She identifies the null and alternative hypotheses as: H_0: The level of contrast between eye color and skin tone does not affect how feminine a face is considered. H_1: The level of contrast between eye color and skin tone affects how feminine a face is considered. She chooses a significance level of .01. After she collects the data the sample statistics, it is time for her to make a decision and computes about H_0. Check the two possible decisions that the graduate student can make given her choices of H_0 and H_1. There is enough evidence to reject the hypothesis that the contrast between eye 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 eye color and skin tone affects how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between eye color and skin tone affects how feminine a face is considered. There is not enough evidence to reject the hypothesis that the contrast between eye color and skin tone does not affect how feminine a face is considered. What decision should the graduate student make if the test statistic is in the critical region? The graduate student cannot reject the null hypothesis. The graduate student should reject the alternative hypothesis, The graduate student should reject the null hypothesis. Suppose that the test statistic is 2.00 and the boundary to the critical region is 2.576. The test statistic is _______ the critical region. Therefore, the graduate student _______ reject the null hypothesis, and she _______ conclude that the level of contrast between eye color and skin ne affects how feminine a face is considered. You may use the Distributions tool if you find it helpful.Explanation / Answer
4.Here a testing problem is to be carried out in order to comment whether people consider faces with more contrast between eye colour and skin tone as more feminine. The hypothesis of interest has been specified.
C) Here the value of the test statistic is 2 and that of the critical region is 2.576. This test will obviously be accepted since the value of the test statistic is less than the critical value and hence the null hypothesis is accepted. The student would conclude on the basis of the data that the level of contrast between eye colour and skin tone does not affect how a female face is considered.
B) The first option is correct and the graduate student should not reject the null hypothesis.
A) The second option is correct.