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Education Level & Political Party…A Conspiracy That Reaches to the Highest Levels of Our Government?. A Statistical Investigation By Matt, Katelen, Anna, and Drew. A Description. We were interested in political preference and education level. We also collected extra data on age level.
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Education Level & Political Party…A Conspiracy That Reaches to the Highest Levels of Our Government? A Statistical Investigation By Matt, Katelen, Anna, and Drew
A Description • We were interested in political preference and education level. • We also collected extra data on age level
Experimental Design • Randomly selected a number 1-350 • Split page into approx. 21 groups of 20 numbers • Selected another random number 1-21 to get sample.
Survey • Script for Survey: “Hi, I am from Ferris High School and am conducting a survey for my statistics class. Would you like to participate?”
Survey (Cont.) 1. Of some high school, high school graduate, some college, 2 yr. Degree, 4. Yr. Degree, Masters degree or a Doctorate Degree, what is the highest level of education you have completed? • With which political party—democratic, republican, or other—do you consider yourself associated? 3. Which age group are you in? ~ 18-30 ~ 31-43 ~ 44-56 ~ 57+
Data Analysis • In order to analyze data, we had to further stratify some of the categories. • Education level was split into low ( groups 1, 2, 3) and high ( groups 4, 5, 6, 7). • Age group was split into young (18-43) and old (44+).
Confidence Intervals 1 prop. Z-int: Democrats w/ high education c = .99 47.6% - 99.7 1 prop. Z-int: Republicans w/ High education c = .99 36.9% - 84.4% 1 prop. Z-int: Old Democrats c = .99 34.6% - 91.6% 1 prop. Z-int: Old Republicans c = .99 30.9% - 80.1%
More Data Analysis Because all counts are greater than 1 and less than 20% of counts are less than 5, Chi-squared procedures are reasonable to test education level against political party preference. Is there an association between political party and education level? Chi-sq. Test of Independence X² = .5833 p = .4450 -Fail to reject the null.
Data Analysis…Again Because all counts are greater than 1 and less than 20% of counts are less than 5, X² procedures are reasonable to test political party preference against age. Does an association exist between age level and political party preference? Chi-sq. Test of Independence X² = .2658 p= .6061 Fail to reject the null.
Conclusions • Both p-values were well above the significance level of .05. • There is not enough evidence to suggest an association between education level and political party preference. • There is not enough evidence to suggest an association between age and political preference. • Response bias is always an issue, but because we properly incorporated randomization into our study, that bias should have been accounted for. • Originally expected a strong association between in both instances.