We have 10.000 genes and 4.000 of them are annotated for a certain attribute of interest.
a. If we have a single set of 10 genes, how many of them should be annotated to be considered significant using a p-value threshold of
b. If we have 1000 sets of 10 genes and out of the 1000 sets, 100 have all the 10 genes annotated, 100 have 9, 100 have 8, ... and 0 have 0 genes annotated, how many sets would be considered significant using the same p-value threshold and Bonferroni's approach?
c. How many of the 1000 sets would be significant using FDR and the same threshold?