the two profiles need to be sent as parameters. We don't
need to fit the normal mixture outside the function. But we need to
fit normal mixture model for NGS data withinin the function to get
the histograms, and the counts within two 2x2 tables. The output
include 1) the two fitted model, and 2) estimated parameter Psi. In
addition, we show 3) the Psi's used to search for the optimal Psi,
and 4) Chi-square test statistics, and 5) the correponding p-values.
In addition, we also find 6) the MLE of Psi, and 7) its Chi-square
test statistic and 8) p-value.