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Owner: thyhvu
Created: May 7, 2018
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Majors v. AP Exams: Dawn of Statistics
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Jorge Villazon

Thy Vu

Period 3

Majors v. AP Exams: Dawn of Statistics

Our research question was " Is there any correlation between college major (STEM, other, no college) and number of AP exams taken throughout high school?" and we endeavored to discover this through any means possible.


H0: College majors (STEM, other, no college) and number of AP exams taken throughout high school (0, 1-5, 6+) are independent

HA: College major (STEM, other, no college) and number of AP exams taken throughout high school (0, 1-5, 6+) are NOT independent

Conditions:

random sample √

categorical variables √

expected frequency count for each cell is greater than 5

  • We ran a Fisher's Exact Test because our conditions were not completely met due to some of the expected frequency counts being less than 5. Sorry Derksen

 

Here is a graph of our chi-square two-way test for independence/association...

Result 1: Contigency Table + Thy and Jorge's Statistic Project   [Info]
Right click to copy

Result 2: Contingency table + Bar Graphs   [Info]
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The graph of the chi-square distribution is positively skewed, centered around the degrees of freedom of 4, and the sample has a chi-square of 18.762. The p-value of this sample is 0.000875.  For our stacked bar graphs we found that median (50th percentile) for RCHS AP seniors who applied to college is 1-5 Exams, while for RCHS AP seniors it is 0 AP Exams. Over 20% of STEM Majors in our sample are taking 6+ AP Exams, over 50% of non-STEM Majors in our sample are taking 1-5 AP Exams, and over 65% of non-college-goers in our sample are taking 0 AP Exams. 


With a p-value of 0.000875 > α, we reject H0. We found statistically significant evidence that college majors (STEM, non-STEM, no college) and AP exams taken during high school (0, 1-5, 6+) are NOT independent amongst RCHS Senior AP students.

From this data, we conclude that RCHS Senior AP students that chose STEM Majors are more inclined to take AP exams and that RCHS Senior AP students that chose not to attend college are less likely to take AP exams.


P.S. Here is our individual data...


Data set 1. Stats Project   [Info]
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<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=77878">Majors v. AP Exams: Dawn of Statistics</A>

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