Week 8 Test
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Part 1 of 4 - Chi Square Test for Homogeneity 8.0/ 8.0 Points
Question 1 of 20
1.0/ 1.0 Points
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? Alpha = .10.
A.
yes because the p-value = 0.5523
, B.
no because the p-value = 0.5523
C.
yes because the p-value = 0.4798
D.
no because the p-value = 0.4798
Answer Key:D
Feedback:
The Expected Count is all the same value. 210*(1/12) = 17.5
Expected
Births Signs
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
Sagittariu
20 17.5
s
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)
p-value > .05, Do Not Reject Ho. No this is not significant.
Question 2 of 20
1.0/ 1.0 Points
Click to see additional instructions
Students at a high school are asked to evaluate their experience in the class at the end of each
school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience
possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s,
34% 3’s, and 41% 4’s.
Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random
sample of his evaluations and finds 10 1’s, 13 2’s, 48 3’s, and 52 4’s. At the 0.05 level of
significance, can Mr. Goodman claim that his evaluations are significantly different than the
History Department’s?
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
p-value= 0.3913
Answer Key:0.3913
Feedback:
1's 2's 3's 4's
Observed
10 13 48 52
Counts
Expected 123 *.10 = 123*.15 = 123*.34 = 123*.41 =
Counts 12.3 18.45 41.82 50.43
Use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 3 of 20
1.0/ 1.0 Points
Click to see additional instructions
A large department store is curious about what sections of the store make the most sales. The
manager has data from ten years prior that show 30% of sales come from Clothing, 25% Home
Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and 2% Other.
In a random sample of 550 current sales, 188 came from Clothing, 153 Home Appliances,
83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the manager conclude
that the distribution of sales among the departments has changed?
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
p-value= 0.0321
Return to Assessment List
Part 1 of 4 - Chi Square Test for Homogeneity 8.0/ 8.0 Points
Question 1 of 20
1.0/ 1.0 Points
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? Alpha = .10.
A.
yes because the p-value = 0.5523
, B.
no because the p-value = 0.5523
C.
yes because the p-value = 0.4798
D.
no because the p-value = 0.4798
Answer Key:D
Feedback:
The Expected Count is all the same value. 210*(1/12) = 17.5
Expected
Births Signs
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
Sagittariu
20 17.5
s
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)
p-value > .05, Do Not Reject Ho. No this is not significant.
Question 2 of 20
1.0/ 1.0 Points
Click to see additional instructions
Students at a high school are asked to evaluate their experience in the class at the end of each
school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience
possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s,
34% 3’s, and 41% 4’s.
Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random
sample of his evaluations and finds 10 1’s, 13 2’s, 48 3’s, and 52 4’s. At the 0.05 level of
significance, can Mr. Goodman claim that his evaluations are significantly different than the
History Department’s?
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
p-value= 0.3913
Answer Key:0.3913
Feedback:
1's 2's 3's 4's
Observed
10 13 48 52
Counts
Expected 123 *.10 = 123*.15 = 123*.34 = 123*.41 =
Counts 12.3 18.45 41.82 50.43
Use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
Question 3 of 20
1.0/ 1.0 Points
Click to see additional instructions
A large department store is curious about what sections of the store make the most sales. The
manager has data from ten years prior that show 30% of sales come from Clothing, 25% Home
Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and 2% Other.
In a random sample of 550 current sales, 188 came from Clothing, 153 Home Appliances,
83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the manager conclude
that the distribution of sales among the departments has changed?
Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
p-value= 0.0321
