Suppose that the test statistic is 2.63 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 he 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. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 .5000 .2500 .2500 -3 -2 -1 1 3 -0.674 0.674

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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).."

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:
Ho: 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 he collects the data and computes the sample statistics, it is time for him to make a decision about Ho.
Check the two possible decisions that the graduate student can make given his choices of Ho 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.
What 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.
Transcribed Image Text: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: Ho: 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 he collects the data and computes the sample statistics, it is time for him to make a decision about Ho. Check the two possible decisions that the graduate student can make given his choices of Ho 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. What 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.
Suppose that the test statistic is 2.63 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 he
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.
Standard Normal Distribution
Mean = 0.0
Standard Deviation = 1.0
.5000
.2500
.2500
-4
-3
-2
-1
1
4
-0.674
0.674
Transcribed Image Text:Suppose that the test statistic is 2.63 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 he 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. Standard Normal Distribution Mean = 0.0 Standard Deviation = 1.0 .5000 .2500 .2500 -4 -3 -2 -1 1 4 -0.674 0.674
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