The first blank is "the test statistic is (not in or in) the critical region" "The graduate student (can or cannot)..""and he (can or cannot).." **Hypothesis Testing in Research**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 0.05. After collecting data and computing the sample statistics, it is time for him to make a decision about H₀.### Possible DecisionsCheck the two potential decisions that the graduate student can make given his choices of H₀ and H₁. *Check all that apply.*- [ ] 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 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 enough evidence to reject the hypothesis that the contrast between eye color and skin tone does *not* affect how feminine a face is considered.### Decision Based on Critical RegionWhat decision should the graduate student make if the test statistic is in the critical region?- [ ] The graduate student should reject the alternative hypothesis.- [ ] The graduate student cannot reject the null hypothesis.- [✔] The graduate student should reject the null hypothesis. ### Statistical Hypothesis Testing and Critical RegionsSuppose that the test statistic is 2.63, and the boundary to the critical region is 1.96. The test statistic is **within** the critical region. Therefore, the graduate student **should** reject the null hypothesis, and he **can** conclude that the level of contrast between eye color and skin tone affects how feminine a face is considered.You may use the Distributions tool if you find it helpful.### Explanation of the Graph#### Standard Normal Distribution- **Mean = 0.0**- **Standard Deviation = 1.0**The graph illustrates a standard normal distribution curve:- The curve is symmetric around the mean (0).- The orange and blue shaded areas represent different sections of the distribution based on standard deviation.**Key Points in the Graph:**- The graph is divided into three main sections: - The central section (blue) between -0.674 and 0.674 represents 50% of the data. - The outer sections (orange), beyond -0.674 and 0.674, each represent 25% of the data.- Critical values are marked, indicating regions where the null hypothesis might be rejected.- The test statistic falls outside the central region, suggesting it lies within the critical section (beyond 1.96).

Name: The first blank is "the test statistic is (not in or in) the critical
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The first blank is "the test statistic is (not in or in) the critical region" "The graduate student (can or cannot)..""and he (can or cannot).." **Hypothesis Testing in Research**A graduate student believes that people consider faces with more contra