Respuesta :
The two possible decisions that the graduate student is that:
- 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 does not affect how feminine a face is considered.
What decision should the graduate student make if the test statistic is not inside the critical region?
If the test is not inside the critical region, the graduate student cannot reject the null hypothesis.
Suppose that the test statistic is 3.29 and the boundary to the critical region is 2.576. The test statistic is outside the critical region. So:
The test statistic is not in the critical region.
2. Therefore, the graduate student cannot reject the null hyopthesis,
3. and she cannot conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered.
Note that a failure to reject the null hypothesis in any kind of significance test does not imply that the null hypothesis holds true. It only imply that the person was not able to give enough evidence for the alternative hypothesis.
See options for the last question
Options for the last section...
1. The test statistic is ____not in/in_____ the critical region.
2. Therefore, the graduate student _____can/cannot_____ reject the null hyopthesis,
3. and she ______can/cannot_______ conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered
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