Question

1.) The Jamaican click beetle, Pyrophorus plagiophthalamus, displays a variety of colors through the bioluminescence of its ventral and dorsal organs. (Hypothetical) population samples taken 20 years apart have hinted that the color distribution may be changing within the Jamaican click beetle population. In the year1980 only 2 of 19 specimens sampled displayed yellow-to-orange luminescence through the ventral organs, while the remaining click-beetles displayed the predominant yellow-to-green luminescence. In the year 2000, 5 of 32 click beetles displayed yellow-to-orange luminescence. Does the year 2000 sample data show a significant increase toward the yellow-to-orange luminescence in the click beetle? Run a complete hypothesis test using Fisher's exact test with a directional alternative and let  = 0.20. Calculate the p-value with accuracy to the 4 th decimal.

Answer 1

ANSWER

yellow to orange Marginal Row Totals 19 1980 2000 Marginal Column Totals 51 (Grand Total)

The Fisher exact test statistic value is 0.699

  The one-tailed P value equals 0.4752

p value > 0.2

not significant

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