Desciptive Analysis

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Indiana University, Bloomington *

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Statistics

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Feb 20, 2024

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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%