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. What decision should the graduate student make if the test statistic is in the critical region?
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. What decision should the graduate student make if the test statistic is in the critical region?
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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Complete all parts
![**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.
**What decision should the graduate student make if the test statistic is in the critical region?**
- [ ] 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed325823-0827-438f-ba4f-c25093b9455c%2Fde32f943-fd39-4808-9acf-0f1aaa84c108%2Fnj5675uk_processed.png&w=3840&q=75)
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.
**What decision should the graduate student make if the test statistic is in the critical region?**
- [ ] 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:**Graded Chapter 8 Problem Set: Understanding Hypothesis Testing and Critical Regions**
**Decision-Making Based on Test Statistics:**
**Question:**
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.
**Scenario:**
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.
**Instructions:**
You may use the Distributions tool if you find it helpful.
**Visual Explanation of the Bell Curve (Standard Normal Distribution):**
**Standard Normal Distribution:**
- Mean = 0.0
- Standard Deviation = 1.0
**Graph Explanation:**
The graph depicts a bell-shaped curve characteristic of a standard normal distribution. It shows two critical values symmetrically placed on the left and right, each indicating a boundary, at approximately -2.576 and 2.576, marking the edges of the critical regions (shaded in orange). The center of the curve aligns with the mean (0). The tails of the curve, beyond the critical values, illustrate the regions where the null hypothesis would typically be rejected if the test statistic falls there. The bulk of the data lies within these bounds, representing the acceptance region for the null hypothesis.
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