The test statistic is (option: in or not in) the critical region. Therefore, the

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The test statistic is (option: in or not in) the critical region. Therefore, the graduate student (option: can or cannot) reject the null hypothesis, and she (option: can or cannot) conclude... —> also there can be more then one answer for first multiple choice Attempts: S Keep the Highest: 5/8 4. 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. H1: The level of contrast between lip color and skin tone affects how feminine a face is considered She chooses a significance level of os. 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 H. 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 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 affects 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 enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not What decision should the graduate student make if the test statistic is not inside the critical region? O The graduate student should reject the null hypothesis. O The graduate student should reject the alternative hypothesis. The graduate student cannot reject the null hypothesis. Suppose that the test statistic is 1.06 and the boundary to the critical region is 1.960·The test statistic is the critical region. Therefore, the graduate student concdude that the level of contrest between lip color and skin tone affects how feminine a face is considered reject the null hypothesis, and she

Explanation / Answer

1. Given a null and alternative hypothesis. Based on a sample there can be only two possible conclusions.

Hence only option (a) and (b) are true for the 1st question

2. Null hypothesis is reject if test statistic is in critical. And because in part 2 the test statistic is not inside critical region so student cannot reject the null hypothesis.

3. If test statistics is 1.06 and boundary for critical region is 1.96 then it is same as part 2. so foloowing will be filled in blanks.

not in, cannot, can not

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