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 0.05. 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 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. 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. 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 cannot reject the null hypothesis. The graduate student should reject the alternative hypothesis. Suppose that the test statistic is 2.62 and the boundary to the critical region is 1.96. 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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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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 0.05. 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 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.

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.

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 cannot reject the null hypothesis.

The graduate student should reject the alternative hypothesis.

Suppose that the test statistic is 2.62 and the boundary to the critical region is 1.96. 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.

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