To begin, we distributed copies of the Blood Type Survey to a mixed population of students, staff and faculty at Carleton College. From the initial surveys we selected for both A and O bloodtypes who had a strong aversion to either Diet 1 or Diet 4 (n=94). The observed food aversions for both blood types are shown below in Table 1.
| Table 1: Observed Food Aversion | ||
| ---- | A | O |
| Diet 1 | 11 | 24 |
| Diet 4 | 41 | 18 |
After we tallied the observed diet aversions, we calculated the expected food aversions for A and O blood types based upon our sample size. The expected food aversions are shown in Table 2. We used the following formula to derive the expected food aversion values:
| Table 2: Expected Food Aversion | ||
| ---- | A | O |
| Diet 1 | 19.36 | 15.64 |
| Diet 4 | 32.64 | 26.36 |
We used the observed and expected values to perform a chi-squared statistical test on our data. The following formula was used to derive the numbers shown below in Table 3:
| Table 3 | ||
| ---- | A | O |
| Diet 1 | 3.61 | 4.47 |
| Diet 4 | 2.14 | 2.65 |
Using the values presented in Table 3 we calculated the chi-squared and p values for our data set. The formulas we used are shown below and the derived values are shown in Table 4.
| Table 4 | ||
| Chi-squared | Degrees of Freedom | p |
| 12.87 | 1 | < .0005 |
A 1 degree of freedom along with the chi-squared value of 12.87 revealed that our data is statistically significant (p < .0005). In other words, there is a > 99% chance that our data means something.