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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 0.01. 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 H1. Check all that apply. O 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. O 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. O There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. O 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.

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 0.01. 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 H1. Check all that apply. O 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. O 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. O There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. O 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### 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: - **H₀**: 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 0.01. After she collects the data and computes the sample statistics, it is time for her to make a decision about H₀. Check the two possible decisions that the graduate student can make given her choices of H₀ and H₁. Check all that apply. - [ ] 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 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. - [ ] 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.
Transcribed Image Text:### 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: - **H₀**: 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 0.01. After she collects the data and computes the sample statistics, it is time for her to make a decision about H₀. Check the two possible decisions that the graduate student can make given her choices of H₀ and H₁. Check all that apply. - [ ] 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 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. - [ ] 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.
**Hypothesis Testing: Decision Making** **What decision should the graduate student make if the test statistic is in the critical region?** - ○ The graduate student should reject the null hypothesis. - ○ The graduate student should reject the alternative hypothesis. - ○ The graduate student cannot reject the null hypothesis. **Explanation:** Suppose that the test statistic is 1.94 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 lip color and skin tone affects how feminine a face is considered. You may use the Distributions tool if you find it helpful. --- **Diagram Explanation:** - **Standard Normal Distribution** - Mean = 0.0 - Standard Deviation = 1.0 The graph displays a standard normal distribution curve. The shaded areas on the tails represent the critical regions, which are beyond the specified critical value (2.576 in this case). The central area under the curve represents the region where the null hypothesis cannot be rejected. An orange line marks the critical boundary, and an arrow emphasizes 50% of the distribution within the non-critical region.
Transcribed Image Text:**Hypothesis Testing: Decision Making** **What decision should the graduate student make if the test statistic is in the critical region?** - ○ The graduate student should reject the null hypothesis. - ○ The graduate student should reject the alternative hypothesis. - ○ The graduate student cannot reject the null hypothesis. **Explanation:** Suppose that the test statistic is 1.94 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 lip color and skin tone affects how feminine a face is considered. You may use the Distributions tool if you find it helpful. --- **Diagram Explanation:** - **Standard Normal Distribution** - Mean = 0.0 - Standard Deviation = 1.0 The graph displays a standard normal distribution curve. The shaded areas on the tails represent the critical regions, which are beyond the specified critical value (2.576 in this case). The central area under the curve represents the region where the null hypothesis cannot be rejected. An orange line marks the critical boundary, and an arrow emphasizes 50% of the distribution within the non-critical region.
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