Week 8 Knowledge Check Homework Practice Questions
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Part 1 of 4 - Chi-Square Test for Homogeneity 4.0/ 8.0 Points
Question 1 of 20
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A college prep school
...
Week 8 Knowledge Check Homework Practice Questions
Return to Assessment List
Part 1 of 4 - Chi-Square Test for Homogeneity 4.0/ 8.0 Points
Question 1 of 20
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A college prep school advertises that their students are more prepared to succeed in college than other schools. To
verify this, they categorize GPA’s into 4 groups and look up the proportion of students at a state college in each
category. They find that 7% have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a 3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find that 19 has a 0-0.99, 28 have a
1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than the general population at the
school? Test at the 0.05 level of significance.
Enter the test statistic - round to 4 decimal places.
Test statistic: 8.1037
Answer Key: 7.3315
Feedback:
0-0.99 1-1.99 2-2.99 3-4.00
Observed
Counts
19 28 82 71
Expected
Counts
=200*0.07
=14
=200*.21=
42
=200*.37
= 74
=200*.35
= 70
Test Stat =
Test Stat = 7.331532
Question 2 of 20
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MATH302 B007 Win 20 Tests & Quizzes
Tests & Quizzes
2/27/2020 APUS CLE : MATH302 B007 Win 20 : Tests & Quizzes
https://edge.apus.edu/portal/site/422035/tool/34abd8b5-c97c-7121-4d4a-439bef8595aa/jsf/select/selectIndex 2/18
A company manager believes that a person’s ability to be a leader is directly correlated to their zodiac sign. He never
selects someone to chair a committee without first evaluating their zodiac sign. An irate employee sets out to prove
her manager wrong. She claims that if zodiac sign truly makes a difference in leadership, then a random sample of 210
CEO’s in our country would reveal a difference in zodiac sign distribution. She finds the following zodiac signs for her
random sample of 210 CEO’s:
Births Signs
25 Aries
13 Taurus
17 Gemini
21 Cancer
16 Leo
18 Virgo
15 Libra
16 Scorpio
20 Sagittarius
11 Capricorn
23 Aquarius
15 Pisces
Can she conclude that zodiac sign makes a difference in whether or not a person makes a good leader?
Enter the p-value - round to 4 decimal places.
p-value = 0.4798
Answer Key: 0.4798
Feedback:
The Expected Count is all the same value. 210*(1/12) = 17.5
Births Signs Expected Count
25 Aries 17.5
13 Taurus 17.5
17 Gemini 17.5
21 Cancer 17.5
16 Leo 17.5
18 Virgo 17.5
15 Libra 17.5
16 Scorpio 17.5
20 Sagittarius 17.5
2/27/2020 APUS CLE : MATH302 B007 Win 20 : Tests & Quizzes
https://edge.apus.edu/portal/site/422035/tool/34abd8b5-c97c-7121-4d4a-439bef8595aa/jsf/select/selectIndex 3/18
0.0/ 1.0 Points
1.0/ 1.0 Points
11 Capricorn 17.5
23 Aquarius 17.5
15 Pisces 17.5
Use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 3 of 20
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