5. The decision-making process
A graduate student believes that people consider faces with more contrast between eye color and skin tone as more feminine. He identifies the null and alternative hypotheses as:
H₀: The level of contrast between eye color and skin tone does not affect how feminine a face is considered.
H₁: The level of contrast between eye color and skin tone affects how feminine a face is considered.
He chooses a significance level of .01. After he collects the data and computes the sample statistics, it is time for him to make a decision about H₀.
Check the two possible decisions that the graduate student can make given his choices of H₀ and H₁.
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.
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 affects how feminine a face is considered.
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.
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 null hypothesis.
The graduate student should reject the alternative hypothesis.
Suppose that the test statistic is 3.29 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 he _______