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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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.
Transcribed Image Text: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?
O The graduate student should reject the null hypothesis.
O The graduate student should reject the alternative hypothesis.
O The graduate student cannot reject the null hypothesis.
Suppose that the test statistic is 1.94 and the boundary to the critical region is 2.576. The test statistic is
v the critical region. Therefore,
the graduate student
v reject the null hypothesis, and she
v 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.
Standard Normal Distribution
Mean - 0.0
Standard Deviation = 1.0
.5000
Transcribed Image Text:What decision should the graduate student make if the test statistic is in the critical region? O The graduate student should reject the null hypothesis. O The graduate student should reject the alternative hypothesis. O The graduate student cannot reject the null hypothesis. Suppose that the test statistic is 1.94 and the boundary to the critical region is 2.576. The test statistic is v the critical region. Therefore, the graduate student v reject the null hypothesis, and she v 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. Standard Normal Distribution Mean - 0.0 Standard Deviation = 1.0 .5000
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