Desciptive Analysis
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Indiana University, Bloomington *
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Course
171
Subject
Statistics
Date
Feb 20, 2024
Type
docx
Pages
14
Uploaded by ColonelWaspMaster266
Question 1
1.
After running a frequency analysis on the following variables:
Age, Race, Gender, Income, Politics, Marital, and Education I found that 20% of people in this data set are 18+ and 20% were over the ages of 30. With regards to race in the sample, 38% were white while only 10% identified as Asian/Pacific Islander. In regard to gender 48% of the sample identified as male and 52% identified as female. When it came to income, A big percent of the sample fell into the category of making $51,00-$75,000. While only 14% reported making $101,00 and above. Democrats were identified to be 36% of the population while republicans identified as republican. Surprisingly, 46% of the sample identified as being single and only 26% identified as being married. Lastly, in regards to
education, 20% of participants have only obtained a high school diploma which is tied for 20% having their bachelors. Statistics
Age
Race
Gender
Household
Income (In
Thousands)
Political
Affiliation
Marital
Status
Highest
Education
Level
Achieved
N
Valid
50
50
50
50
50
50
50
Missin
g
0
0
0
0
0
0
0
Age
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
18-20
10
20.0
20.0
20.0
21-23
9
18.0
18.0
38.0
24-26
9
18.0
18.0
56.0
27-29
6
12.0
12.0
68.0
30-32
6
12.0
12.0
80.0
33+
10
20.0
20.0
100.0
Total
50
100.0
100.0
Race
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
White, Non-Hispanic
19
38.0
38.0
38.0
Black, Non-Hispanic
7
14.0
14.0
52.0
Hispanic
13
26.0
26.0
78.0
Asian/Pacific-Islander
5
10.0
10.0
88.0
Native American/Indigenous
2
4.0
4.0
92.0
Mixed Race
4
8.0
8.0
100.0
Total
50
100.0
100.0
Gender
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
Male
24
48.0
48.0
48.0
Female
26
52.0
52.0
100.0
Total
50
100.0
100.0
Household Income (In Thousands)
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
0-25,000
7
14.0
14.0
14.0
26,000-50,000
14
28.0
28.0
42.0
51,000-75,000
15
30.0
30.0
72.0
76,000-100,000
7
14.0
14.0
86.0
101,000+
7
14.0
14.0
100.0
Total
50
100.0
100.0
Political Affiliation
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
Republican
14
28.0
28.0
28.0
Democrat
18
36.0
36.0
64.0
Independant
8
16.0
16.0
80.0
Green
3
6.0
6.0
86.0
Unaffiliated
4
8.0
8.0
94.0
Other
3
6.0
6.0
100.0
Total
50
100.0
100.0
Marital Status
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
Single
23
46.0
46.0
46.0
Married
13
26.0
26.0
72.0
Separated
7
14.0
14.0
86.0
Divorced
6
12.0
12.0
98.0
Widowed
1
2.0
2.0
100.0
Total
50
100.0
100.0
Highest Education Level Achieved
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
No High School
7
14.0
14.0
14.0
High School Diploma/GED
10
20.0
20.0
34.0
Some College
7
14.0
14.0
48.0
Associate
5
10.0
10.0
58.0
Bachelors
10
20.0
20.0
78.0
Masters
9
18.0
18.0
96.0
Doctorate
2
4.0
4.0
100.0
Total
50
100.0
100.0
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Question 2
After running a correlation analysis between education and income, the results showed that the two variables were significantly correlated at .01.
Correlations
Household
Income (In
Thousands)
Highest
Education
Level
Achieved
Household Income (In Thousands)
Pearson Correlation
1
.897
**
Sig. (2-tailed)
<.001
N
50
50
Highest Education Level Achieved
Pearson Correlation
.897
**
1
Sig. (2-tailed)
<.001
N
50
50
**. Correlation is significant at the 0.01 level (2-tailed).
Question 3
After running a frequency analysis with mean, median and mode, it was found that the average participants in the sample exercise around 5.4 hours per week. The mode was 5, this means that 18% of the sample exercises 5 hours per week which is the most frequent number of hours. Statistics
How many hours a week do you exercise? N
Valid
50
Missing
0
Mean
9.04
Median
8.00
Mode
5
How many hours a week do you exercise?
Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
1
2
4.0
4.0
4.0
2
3
6.0
6.0
10.0
3
2
4.0
4.0
14.0
4
3
6.0
6.0
20.0
5
9
18.0
18.0
38.0
6
3
6.0
6.0
44.0
7
2
4.0
4.0
48.0
8
4
8.0
8.0
56.0
9
1
2.0
2.0
58.0
10
2
4.0
4.0
62.0
12
3
6.0
6.0
68.0
13
3
6.0
6.0
74.0
14
2
4.0
4.0
78.0
15
4
8.0
8.0
86.0
16
2
4.0
4.0
90.0
17
2
4.0
4.0
94.0
19
1
2.0
2.0
96.0
20
2
4.0
4.0
100.0
Total
50
100.0
100.0
Question 4
After running a cross tab and chi-square analysis, I found that there is a link between people’s opinion on gay marriage and age. The P value is .002 which shows statistical significance between the two variables. This data set suggests that as you get older, the more likely you are to say no to gay marriage. While the younger you are, the more likely you are to say yes to gay marriage.
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
Do You Think Homosexual Couples Should be Allowed to Wed/Marry? * Age
50
100.0%
0
0.0%
50
100.0%
Do You Think Homosexual Couples Should be Allowed to Wed/Marry? * Age Crossta
Age
18-20
21-23
24-26
27-29
30-32
Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
No
Count
0
1
4
4
5
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
0.0%
4.5%
18.2%
18.2%
22.7%
% within Age
0.0%
11.1%
44.4%
66.7%
83.3%
% of Total
0.0%
2.0%
8.0%
8.0%
10.0%
Yes
Count
10
8
4
2
1
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
37.0%
29.6%
14.8%
7.4%
3.7%
% within Age
100.0%
88.9%
44.4%
33.3%
16.7%
% of Total
20.0%
16.0%
8.0%
4.0%
2.0%
No Opinion
Count
0
0
1
0
0
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
0.0%
0.0%
100.0%
0.0%
0.0%
% within Age
0.0%
0.0%
11.1%
0.0%
0.0%
% of Total
0.0%
0.0%
2.0%
0.0%
0.0%
Total
Count
10
9
9
6
6
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
20.0%
18.0%
18.0%
12.0%
12.0%
% within Age
100.0%
100.0%
100.0%
100.0%
100.0%
% of Total
20.0%
18.0%
18.0%
12.0%
12.0%
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Chi-Square Tests
Value
df
Asymptotic
Significance
(2-sided)
Pearson Chi-Square
27.188
a
10
.002
Likelihood Ratio
30.520
10
<.001
Linear-by-Linear Association
17.988
1
<.001
N of Valid Cases
50
a. 16 cells (88.9%) have expected count less than 5. The minimum expected count is .12.
Question 5
After running a cross tab analysis I found that there is a link between whether a person’s politic affiliation affects their opinion of marijuana. The P value was 1.98, which is higher than the number needed to prove statistical significance (.001).
Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
Political Affliation * Do You Think Marijuana Should be Legalized?
50
100.0%
0
0.0%
50
100.0%
Political Affliation * Do You Think Marijuana Should be Legalized? Crosstabulation
Do You Think Marijuana Should be
Legalized?
Total
No
Yes
No Opinion
Political Affliation
Republican
Count
10
4
0
14
% within Political Affliation
71.4%
28.6%
0.0%
100.0%
% within Do You Think Marijuana Should be Legalized?
43.5%
16.0%
0.0%
28.0%
% of Total
20.0%
8.0%
0.0%
28.0%
Democrat
Count
5
11
2
18
% within Political Affliation
27.8%
61.1%
11.1%
100.0%
% within Do You Think Marijuana Should be Legalized?
21.7%
44.0%
100.0%
36.0%
% of Total
10.0%
22.0%
4.0%
36.0%
Independa
nt
Count
5
3
0
8
% within Political Affliation
62.5%
37.5%
0.0%
100.0%
% within Do You Think Marijuana Should be Legalized?
21.7%
12.0%
0.0%
16.0%
% of Total
10.0%
6.0%
0.0%
16.0%
Green
Count
2
1
0
3
% within Political Affliation
66.7%
33.3%
0.0%
100.0%
% within Do You Think Marijuana Should be Legalized?
8.7%
4.0%
0.0%
6.0%
% of Total
4.0%
2.0%
0.0%
6.0%
Unaffiliated
Count
1
3
0
4
% within Political Affliation
25.0%
75.0%
0.0%
100.0%
% within Do You Think Marijuana Should be Legalized?
4.3%
12.0%
0.0%
8.0%
% of Total
2.0%
6.0%
0.0%
8.0%
Other
Count
0
3
0
3
% within Political Affliation
0.0%
100.0%
0.0%
100.0%
% within Do You Think Marijuana Should be Legalized?
0.0%
12.0%
0.0%
6.0%
% of Total
0.0%
6.0%
0.0%
6.0%
Total
Count
23
25
2
50
% within Political Affliation
46.0%
50.0%
4.0%
100.0%
% within Do You Think Marijuana Should be Legalized?
100.0%
100.0%
100.0%
100.0%
% of Total
46.0%
50.0%
4.0%
100.0%
Chi-Square Tests
Value
df
Asymptotic
Significance
(2-sided)
Pearson Chi-Square
13.485
a
10
.198
Likelihood Ratio
15.166
10
.126
Linear-by-Linear Association
1.857
1
.173
N of Valid Cases
50
a. 14 cells (77.8%) have expected count less than 5. The minimum expected count is .12.
Question 6
Part A
After running a frequency
analysis I found that 42% of the participants said abortion should not be legal and 48% said that it should be legal. The majority agreed that abortion should be legalized.
Statistics
Do You Think Abortion Should be Legal? N
Valid
50
Missing
0
Do You Think Abortion Should be Legal?
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Frequency
Percent
Valid Percent
Cumulative
Percent
Valid
No
21
42.0
42.0
42.0
Yes
24
48.0
48.0
90.0
Only in Cases of Incest/Rape
5
10.0
10.0
100.0
Total
50
100.0
100.0
Part B
After running a cross tab and chi-square analysis, the p value turned out to be .114 which does show statical significance. Surprisingly, those with no high school experience all voted against abortion being legalized, while those with doctorates all voted for abortion being legalized. Case Processing Summary
Cases
Valid
Missing
Total
N
Percent
N
Percent
N
Percent
Highest Education Level Achieved * Do You Think Abortion Should be Legal?
50
100.0%
0
0.0%
50
100.0%
Highest Education Level Achieved * Do You Think Abortion Should be Legal? Crosstabula
Do You Think Abortion Should be
Legal?
No
Yes
Only in Cases
of
Incest/Rape
Highest Education Level Achieved
No High School
Count
6
0
1
% within Highest Education Level Achieved
85.7%
0.0%
14.3%
% within Do You Think Abortion Should be Legal?
28.6%
0.0%
20.0%
% of Total
12.0%
0.0%
2.0%
High School Diploma/GED
Count
7
2
1
% within Highest Education Level Achieved
70.0%
20.0%
10.0%
% within Do You Think Abortion Should be Legal?
33.3%
8.3%
20.0%
% of Total
14.0%
4.0%
2.0%
Some College
Count
3
4
0
% within Highest Education Level Achieved
42.9%
57.1%
0.0%
% within Do You Think Abortion Should be Legal?
14.3%
16.7%
0.0%
% of Total
6.0%
8.0%
0.0%
Associate
Count
1
3
1
% within Highest Education Level Achieved
20.0%
60.0%
20.0%
% within Do You Think Abortion Should be Legal?
4.8%
12.5%
20.0%
% of Total
2.0%
6.0%
2.0%
Bachelors
Count
2
7
1
% within Highest Education Level Achieved
20.0%
70.0%
10.0%
% within Do You Think Abortion Should be Legal?
9.5%
29.2%
20.0%
% of Total
4.0%
14.0%
2.0%
Masters
Count
2
6
1
% within Highest Education Level Achieved
22.2%
66.7%
11.1%
% within Do You Think Abortion Should be Legal?
9.5%
25.0%
20.0%
% of Total
4.0%
12.0%
2.0%
Doctorate
Count
0
2
0
% within Highest Education Level Achieved
0.0%
100.0%
0.0%
% within Do You Think Abortion Should be Legal?
0.0%
8.3%
0.0%
% of Total
0.0%
4.0%
0.0%
Total
Count
21
24
5
% within Highest Education Level Achieved
42.0%
48.0%
10.0%
% within Do You Think Abortion Should be Legal?
100.0%
100.0%
100.0%
% of Total
42.0%
48.0%
10.0%
Chi-Square Tests
Value
df
Asymptotic
Significance
(2-sided)
Pearson Chi-Square
18.053
a
12
.114
Likelihood Ratio
22.537
12
.032
Linear-by-Linear Association
3.588
1
.058
N of Valid Cases
50
a. 21 cells (100.0%) have expected count less than 5. The minimum expected count is .20.
Part C
I chose to analyze whether a person’s political affiliation affects their opinion of Gay Marriage.
Case Processing Summary
Cases
Valid
Missing
Total
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N
Percent
N
Percent
N
Percent
Political Affliation * Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
50
100.0%
0
0.0%
50
100.0%
Political Affliation * Do You Think Homosexual Couples Should be Allowed to
Wed/Marry? Crosstabulation
Do You Think Homosexual Couples
Should be Allowed to Wed/Marry?
Total
No
Yes
No Opinion
Political Affliation
Republican
Count
5
9
0
14
% within Political Affliation
35.7%
64.3%
0.0%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
22.7%
33.3%
0.0%
28.0%
% of Total
10.0%
18.0%
0.0%
28.0%
Democrat
Count
6
12
0
18
% within Political Affliation
33.3%
66.7%
0.0%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
27.3%
44.4%
0.0%
36.0%
% of Total
12.0%
24.0%
0.0%
36.0%
Independan
t
Count
3
5
0
8
% within Political Affliation
37.5%
62.5%
0.0%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
13.6%
18.5%
0.0%
16.0%
% of Total
6.0%
10.0%
0.0%
16.0%
Green
Count
2
0
1
3
% within Political Affliation
66.7%
0.0%
33.3%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
9.1%
0.0%
100.0%
6.0%
% of Total
4.0%
0.0%
2.0%
6.0%
Unaffiliated
Count
4
0
0
4
% within Political Affliation
100.0%
0.0%
0.0%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
18.2%
0.0%
0.0%
8.0%
% of Total
8.0%
0.0%
0.0%
8.0%
Other
Count
2
1
0
3
% within Political Affliation
66.7%
33.3%
0.0%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
9.1%
3.7%
0.0%
6.0%
% of Total
4.0%
2.0%
0.0%
6.0%
Total
Count
22
27
1
50
% within Political Affliation
44.0%
54.0%
2.0%
100.0%
% within Do You Think Homosexual Couples Should be Allowed to Wed/Marry?
100.0%
100.0%
100.0%
100.0%
% of Total
44.0%
54.0%
2.0%
100.0%
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