QUESTION 1 Which of the following is the Greek symbol chi? X ? ? ? 1 points QUES
ID: 2910057 • Letter: Q
Question
QUESTION 1
Which of the following is the Greek symbol chi?
X
?
?
?
1 points
QUESTION 2
Researchers wanted to know whether it is better to give the diphtheria, tetanus and pertussis (DTaP) vaccine in the thigh or the arm, so they collected data on severe reactions to this vaccine in children aged 3 to 6 years old. What would be the best statistical test for them to utilize?
One-sample chi-square
Linear regression
T-test
Two-sample chi-square
1 points
QUESTION 3
If you have 30 respondents identifying their political preference (i.e., Democrat, Republican, Independent), what would be the expected frequency for each category?
10
30
40
20
1 points
QUESTION 4
You use the CHISQ.TEST function in Excel, and receive a value of 0.9864. This value represents the _______.
degrees of freedom
p value
chi-square statistic
obtained value
1 points
QUESTION 5
One assumption of the chi-square statistic is that each observation in a set of data is ______.
dependent on all other observations
interrelated to other observations
independent of all other observations
independent of some observations and dependent on others
1 points
QUESTION 6
Use the following information for problems 6-8.
X 2(5) = 3.75, p < 0.05
How many categories were in this study?
6
0.05
3.75
5
1 points
QUESTION 7
What is the X 2value?
3.75
5
6
0.05
1 points
QUESTION 8
True or False, this finding is statistically significant.
True
False
1 points
QUESTION 9
One study of Medical College Admissions Test (MCAT) compared the ethnicity of test takers with the overall student population, in order to see if the ethnicity of test takers was representative of the overall population. This information is presented in the following table. Conduct a chi-square test at the ? = 0.05 level.
Use the results of this analysis to answer problems 9-13
Ethnicity
Overall student
percentage
# of students
observed
# of students
expected
Asian, Asian American or Pacific Islander
5.4%
113
Black or African American
14.5%
98
Hispanic or Latino
15.9%
141
American Indian or Alaska Native
1.2%
25
White
61.6%
604
Not reported/other
1.4%
45
Totals
100%
1026
What is the degrees of freedom for this test?
2
5
6
1
1 points
QUESTION 10
What is the expected value for the number of students who were Hispanic or Latino?
163.13
159
141.5
171
1 points
QUESTION 11
What is the chi-square value?
5.35
37.89
1370.02
159.92
1 points
QUESTION 12
What is the critical value?
15.08
12.59
11.07
3.75
1 points
QUESTION 13
True or False, this finding is statistically significant.
True
False
1 points
QUESTION 14
A manager of a sports club believes that there is a relationship between the age of a member and choice of sport. The sports club collects information on members and their choice of sport. This information is presented in the following table. Conduct a two-sample chi-square test to test the belief that the age of a member is related to the choice of sport. Use an ? of 0.05.
Use the results of this analysis to answer problems 14-20
Racquetball
Tennis
Swimming
18-25
42
58
72
26-30
58
76
60
31-40
30
38
65
41-60
46
65
33
60 and over
53
41
58
What is the null hypothesis?
There is no difference between the groups
The groups are not equal
Age and sport choice are independent
H0 = P1 = P2 = P3 = P4 = P5
1 points
QUESTION 15
What is the formula to determine the degrees of freedom for this test?
k -1
c-1
(r – 1) (c – 1)
r-1
1 points
QUESTION 16
What is the chi-square statistic?
31.2
8
27.35
3.90
1 points
QUESTION 17
What is the expected value for 31 – 40 year olds who play tennis?
46.51
278
38
48.18
1 points
QUESTION 18
True or False, this finding is statistically significant.
True
False
1 points
QUESTION 19
Based on this information, the researcher should make the decision to ___________.
reject the null hypothesis
fail to reject the null hypothesis
1 points
QUESTION 20
How do you interpret this finding? There ____ enough evidence to conclude that there is a difference in sport preference based on age group at the 0.05 significance level.
is
is not
a.X
b.?
c.?
d.?
Explanation / Answer
Result:
QUESTION 1
Which of the following is the Greek symbol chi?
?
a.
X
b.
?
c.
?
d.
?
1 points
QUESTION 2
Researchers wanted to know whether it is better to give the diphtheria, tetanus and pertussis (DTaP) vaccine in the thigh or the arm, so they collected data on severe reactions to this vaccine in children aged 3 to 6 years old. What would be the best statistical test for them to utilize?
a.
One-sample chi-square
b.
Linear regression
c.
T-test
Answer: d.
Two-sample chi-square
1 points
QUESTION 3
If you have 30 respondents identifying their political preference (i.e., Democrat, Republican, Independent), what would be the expected frequency for each category?
Answer: a.
10
b.
30
c.
40
d.
20
1 points
QUESTION 4
You use the CHISQ.TEST function in Excel, and receive a value of 0.9864. This value represents the _______.
a.
degrees of freedom
b.
p value
Answer: c.
chi-square statistic
d.
obtained value
1 points
QUESTION 5
One assumption of the chi-square statistic is that each observation in a set of data is ______.
a.
dependent on all other observations
b.
interrelated to other observations
Answer: c.
independent of all other observations
d.
independent of some observations and dependent on others
1 points
QUESTION 6
Use the following information for problems 6-8.
X 2(5) = 3.75, p < 0.05
How many categories were in this study?
Answer: a.
6
b.
0.05
c.
3.75
d.
5
1 points
QUESTION 7
What is the X 2value?
Answer: a.
3.75
b.
5
c.
6
d.
0.05
1 points
QUESTION 8
True or False, this finding is statistically significant.
True
Answer: False
1 points
QUESTION 9
One study of Medical College Admissions Test (MCAT) compared the ethnicity of test takers with the overall student population, in order to see if the ethnicity of test takers was representative of the overall population. This information is presented in the following table. Conduct a chi-square test at the ? = 0.05 level.
Use the results of this analysis to answer problems 9-13
Ethnicity
Overall student
percentage
# of students
observed
# of students
expected
Asian, Asian American or Pacific Islander
5.4%
113
Black or African American
14.5%
98
Hispanic or Latino
15.9%
141
American Indian or Alaska Native
1.2%
25
White
61.6%
604
Not reported/other
1.4%
45
Totals
100%
1026
What is the degrees of freedom for this test?
a.
2
Answer: b.
5
c.
6
d.
1
1 points
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
113
55.404
57.596
59.875
98
148.770
-50.770
17.326
141
163.134
-22.134
3.003
25
12.312
12.688
13.075
604
632.016
-28.016
1.242
45
14.364
30.636
65.341
Total
1026
1026.000
0.000
159.863
159.86
chi-square
5
df
0.0000
p-value
QUESTION 10
What is the expected value for the number of students who were Hispanic or Latino?
Answer: a.
163.13
b.
159
c.
141.5
d.
171
1 points
QUESTION 11
What is the chi-square value?
a.
5.35
b.
37.89
c.
1370.02
Answer: d.
159.92
1 points
QUESTION 12
What is the critical value?
a.
15.08
b.
12.59
Answer: c.
11.07
d.
3.75
1 points
QUESTION 13
True or False, this finding is statistically significant.
Answer: True
False
1 points
QUESTION 14
A manager of a sports club believes that there is a relationship between the age of a member and choice of sport. The sports club collects information on members and their choice of sport. This information is presented in the following table. Conduct a two-sample chi-square test to test the belief that the age of a member is related to the choice of sport. Use an ? of 0.05.
Use the results of this analysis to answer problems 14-20
Racquetball
Tennis
Swimming
18-25
42
58
72
26-30
58
76
60
31-40
30
38
65
41-60
46
65
33
60 and over
53
41
58
What is the null hypothesis?
a.
There is no difference between the groups
b.
The groups are not equal
Answer: c.
Age and sport choice are independent
d.
H0 = P1 = P2 = P3 = P4 = P5
1 points
QUESTION 15
What is the formula to determine the degrees of freedom for this test?
a.
k -1
b.
c-1
Answer: c.
(r – 1) (c – 1)
d.
r-1
1 points
Observed Frequencies
Column variable
Calculations
Racquetball
Tennis
Swimming
Total
fo-fe
18-25
42
58
72
172
-7.5447
-2.1459
9.6906
26-30
58
76
60
194
2.1182
8.1610
-10.2792
31-40
30
38
65
133
-8.3107
-8.5082
16.8189
41-60
46
65
33
144
4.5208
14.6453
-19.1660
60 and over
53
41
58
152
9.2164
-12.1522
2.9358
Total
229
278
288
795
Expected Frequencies
Column variable
Racquetball
Tennis
Swimming
Total
(fo-fe)^2/fe
18-25
49.5447
60.1459
62.3094
172
1.1489
0.0766
1.5071
26-30
55.8818
67.8390
70.2792
194
0.0803
0.9818
1.5035
31-40
38.3107
46.5082
48.1811
133
1.8028
1.5565
5.8711
41-60
41.4792
50.3547
52.1660
144
0.4927
4.2595
7.0417
60 and over
43.7836
53.1522
55.0642
152
1.9400
2.7784
0.1565
Total
229
278
288
795
Data
Level of Significance
0.05
Number of Rows
5
Number of Columns
3
Degrees of Freedom
8
Results
Critical Value
15.5073
Chi-Square Test Statistic
31.1972
p-Value
0.0001
Reject the null hypothesis
QUESTION 16
What is the chi-square statistic?
Answer: a.
31.2
b.
8
c.
27.35
d.
3.90
1 points
QUESTION 17
What is the expected value for 31 – 40 year olds who play tennis?
Answer: a.
46.51
b.
278
c.
38
d.
48.18
1 points
QUESTION 18
True or False, this finding is statistically significant.
Answer: True
False
1 points
QUESTION 19
Based on this information, the researcher should make the decision to ___________.
Answer: a.
reject the null hypothesis
b.
fail to reject the null hypothesis
1 points
QUESTION 20
How do you interpret this finding? There ____ enough evidence to conclude that there is a difference in sport preference based on age group at the 0.05 significance level.
Answer: a.
is
b.
is not
a.
X
b.
?
c.
?
d.
?
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