To test whether our bead frequencies changed over the course of ten generations, we compared the first-generation distribution (the “expected” population) with the tenth-generation distribution (the “observed” population) using Chi-square analysis. For the size of our population, the critical value for chi-square was 7.82. Population A’s chi-square value was 5.2, and Population B’s chi-square value was 0.58. Although these low values would seem to support the null hypothesis, we also compared our results with the populations of the rest of the lab class (see Table 1 below). Out of the four additional populations, all had a higher chi-square value than the critical value.
Based on all populations, we concluded that the null hypothesis should be rejected. Detailed examination of the data shown in Figure 1 shows that no particular color of bead increased more than another, which would be expected if the changing frequencies were due to natural selection. Although our two populations of allele bead frequency did not change significantly, an unchanging population fits in a model of random change.
Figure 1: Allele distribution (represented by colored beads) in populations A and B. Beads were chosen at random then doubled for 10 generations. Allele frequency showed little to no change between generation 1 and 10.
Table 1. Comparison of Chi-Square Analysis of Bead Populations between generations 1 and 10 with the null hypothesis being there was no significant change in allele frequency.
Team
|
Chi-Square value
|
Critical Value
|
Support/Reject Null Hypothesis
|
Nhy & Anh
|
14.6
|
7.82
|
Reject Null
|
Brian & Prach
|
13.4
|
7.82
|
Reject Null
|
Na & Nancy
|
10.1
|
7.82
|
Reject Null
|
Robert & Justin
|
16.7
|
7.82
|
Reject Null
|
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